A ladder leans against a building, making a 70° angle of elevation with the ground. The top of the ladder reaches a point on the building that is 39 feet above the ground.
To the nearest tenth of a foot, what is the distance between the base of the building and the base of the ladder?

Question 4 options:

13.3 ft


14.2 ft


36.6 ft


41.5 ft

Answers

Answer 1

Answer:

14.2feet

Step-by-step explanation:

Given the following

Angle of elevation = 70degrees

Height of the building from the ground = 39feet (opposite)

Required

distance between the base of the building and the base of the ladder (adjacent)

Using the SOH CAH TOA identity

Tan theta = opp/adj

Tan 70 = 39/d

d = 39/tan 70

d = 39/2.7475

d =  14.2

Hence the distance between the base of the building and the base of the ladder is 14.2feet


Related Questions

Use an inverse trig function to find the missing angle measure. Round your answer to the nearest tenth (first decimal place)​

Answers

Answer:

  x° ≈ 51.1°

Step-by-step explanation:

In this geometry, you are given the side opposite the angle, along with the hypotenuse. The relevant trig relation is ...

  Sin = Opposite/Hypotenuse

  sin(x°) = 14/18

  x° = arcsin(14/18) ≈ 51.0576°

  x° ≈ 51.1°

CAN ANYONE HELP ME ASAP AND THANKS:)

Answers

Answer:

true, true, false

Step-by-step explanation:

the sales do not decrease between week 4 and 5

Answer:

The answer is True, True, False

Step-by-step explanation:

For the first one, it is true because if you look on the graph, on the bottom or the x-axis, it is labeled "weeks". If you pay attention to when the line on the graph is, you will se that it is a straight line through weeks 1 and 2, so number one is true.

For the second one, it is also true because on the graph, you can see the the line starts to go upwards or increase. While the line is doing that, you can look right under it and see that it is passing through weeks 3 and 4, so that is True.

For the last one, it is false because on the graph, the line keeps going upwards for weeks 5 and 6, and the statement says that it is decreasing or going down, which is incorrect, so finally, the last question is false.

Hope this helps!

Select the value of r that makes 8r = 24 true

A. 1\3

B.3

C.16

D.32

Answers

Answer:

B) 3

Step-by-step explanation:

24÷8=3

3×8=24

so r is 3

Solve for x and y simultaneously in

Answers

Answer:

forgot to add a pic

Step-by-step explanation:

Can u help me on this(no links)

Answers

Answer:

B. 61 1/2

Step-by-step explanation:

plss markk me blainliest

Find the area of a sector, whose perimeter is 40 cm, and the radius is 8 cm.

Answers

Answer:

96 cm²

Step-by-step explanation:

From the question,

s = (2πr∅/360)+2r................. Equation 1

Where s = Perimeter of a sector, r = radius, ∅ = angle subtend by the sector at the center of the circle.

Given: s = 40 cm, r = 8 cm

Constant : π = 3.14.

Substitute into equation 1 and solve for ∅

40 = (2×8×3.14×∅/360)+(2×8)

40 = (50.24∅/360)+16

40-16 = 50.24∅/360

50.24∅/360 = 24

50.24∅ = 24×360

50.24∅ = 8640

∅ = 8640/50.24

∅ = 171.97°

Area of a sector (A') = ∅πr²/360

A' = 171.97×3.14×8²/360

A' = 95.997

A' ≈ 96 cm²

Mrs. Yamaguchi's class weighed the potatoes that they grew in their garden and recorded the data in a
table. Determine how many dots are above each data value in a line plot of this data.
Weights of Potatoes (in pounds)
5
8
8
2
5
1
1
3
2
2
4
1
3
1
8
4
2
1
3
3
2
4
8
The value will have
1
dots above it.
1
dots above it.
The value will have
The value will have
3
dots above it.
The value will have
2
dots above it.

Answers

Answer:

The value  

1

8

will have  

1

dots above it.

The value  

1

4

will have  

2

dots above it.

The value  

3

8

will have  

3

dots above it.

The value  

1

2

will have  

5

dots above it.

The value  

5

8

will have  

2

dots above it.

The value  

3

4

will have  

3

dots above it.

Step-by-step explanation:

I took the test

Please help I’ll mark you brainliest

Answers

Answer:

The perimeter is 25.

Step-by-step explanation:

Darling, I'm not always accurate but I hope this helps you with math!

5th grade math. correct answer will be marked brainliest

Answers

Answer:

4.125 or 4 1/8 or 33/8

Step-by-step explanation:

Find the LCD and then combine.

can u pls help solve by using trig

Answers

Answer:

32.485

Step-by-step explanation:

24+6root2

There are 30 red marbles, 16 blue marbles, and 14 green marbles in a jar.
What is the probability of picking out a red marble without looking?
30%
50%
23%
0 27%

Answers

Answer:

B or 50%

Step-by-step explanation:

First, you add all of them together

30 + 16 + 14 = 60

Then you do the part/whole

30/60 = 1/2

1/2 = 50%

Please help.. I really don't understand this

Answers

Answer:

The answer is 62 degrees

Step-by-step explanation:

I was kind of anticipating this question, given the others you posted. :) It builds on what you learned in the last 2.

Two angles that form a straight line = 180 degrees.

So x + 149 = 180, x = 31.

Now look at the horizontal line that is parallel on top. The corresponding angle for x is the upper left angle.

And the prior example also said that vertical angles/opposite angles are equal. So x = y, so y = 31 also.

The question is what is x + y

31 + 31 = 62

please let me know if you have questions about this.

Which expressions represent 1 more than the product of 5 and 2?

Answers

2 and 4 are the answers that apply to this statement
4thhhhhhhhhhhhhhhhhh ans

please answer this and not take the points or I will report you

Answers

It is 540 well that’s what I got
You solve for t by simplifying both sides of the equation and then you isolate the variable which t=540 if I’m not mistaking

if you actually know the answer please give me an explanation of the answer so i know you're not just answering for points.

Answers

Answer:

i think it's A but I'm not to sure

Step-by-step explanation:

don't count my word for it just here with a geuss

what are the lengths of sides a and c ​

Answers

Answer: a is 4 mm, c is 8 mm

Step-by-step explanation:

the 30-60-90 triangle rule: in a right triangle with 30, 60 and 90 degree angles, the adjacent side  is [tex]\sqrt{3}[/tex] the opposite side, while the hypotenuse is 2 times the opposite.

the adjacent side in this case would be 4[tex]\sqrt{3}[/tex], a is opposite, and c is the hypotenuse

divide the adjacent side by [tex]\sqrt{3}[/tex]  and we have the opposite side: 4

the hypotenuse is twice the opposite side, which has a value of 4. 4 times 2 is 8, which means the value of the hypotenuse is 8 mm

What is the area of this figure?
6mi
5mi
8mi
square miles

Answers

Answer:

6x5x8=240 square miles ([tex]240^2}[/tex])

Please help me!!!!!!!!!!!!!!!!

Answers

Answer:

who where when what how?!!?

Step-by-step explanation:

Answer in the attachment :)

Answers

I think it's c hope it's right

quiz consists of 20 multiple choice questions, each with five possible answers, only one of which is correct. If a student guesses on each question, what is the mean and standard deviation of the number of correct answers?
mean: 4; standard deviation: 1.78885438
mean: 10; standard deviation: 1.78885438
mean: 4; standard deviation: 2
mean: 10; standard deviation: 3.16227766

Answers

Answer:

I think mean 10; 3.16

Step-by-step explanation:

I will give the brainlist...plz help me.

Answers

Answer:

0.8,1.4

Step-by-step explanation:

0.8 is the biggest portion of the candy

please helppppppppppp...... 17 points

Answers

Answer:

x = 24.5

Step-by-step explanation:

the angles form a straight line, and a straight line equals to 180°

=> (5x + 8) + (3x - 24) = 180

=> 8x = 196

=> x = 24.5

Tommy brought three cups of blueberries are in 1 and 1/2 of a cup of blueberries each day how many days can Tommy eat blueberries before they're all gone​

Answers

Answer:

6

Step-by-step explanation:

FOR 58 POINTS!!!
Angle H is half as large as angle J. Angle J is one fourth as large as angle K. Angle K has a measure of 240 degrees. What is the measure of angle H?

Answers

Answer:

30

Step-by-step explanation:

Given h()
- 4x - 4, solve for a when h(x)
-8.

Answers

Answer:

28

Step-by-step explanation:

this is a function

if h(x) is -8 you would plug it in for x:

-4(-8) -4 a negative × a negative is a positive

32- 4= 28

Answer:h(-8)=28

Step-by-step explanation: h(-8)=-4(-8)-4

32-4= 28

kim's scores in the diving competition were 7,2, 6.975, 8.0 and 6.96 what is her total score

decimal​

Answers

Answer:

8.0

Step-by-step explanation:

Please Help!!!!!!!!!!

Answers

Answer: Yes, because there are at least two claims

Step-by-step explanation:

Ur welcome 3>

Find the circumference and area of a circle with diameter of 18 inches. Use 3.14 for pi. Write your answer as decimals rounded to the nearest hundredth.
a. C = 56.52 in, A = 1017.36 in2
b. C = 56.52 in, A = 254.34 in2
c. C = 113.04 in, A = 254.34 in2
d. C = 113.04 in, A = 1017.36 in2
e. None of the above are correct.

Answers

Answer: b

Step-by-step explanation:

Radius = 9 inches, Pi= 3.14

Circumference = 2 x pi x radius = 2 x (3.14) x 9 = 56.52

Area = pi x radius x radius = (3.14) x 9 x 9 = 254.34

Answer:

Answer attached

Step-by-step explanation:

best gets brainliest

Answers

Answer:

A

Step-by-step explanation:

|X+1|+|x-2|=3. Can you please help me?

Answers

Answer:

I can answer if you make me brainliest

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