**Will give brainiest

Answer:

707

bc

tan(3)=a/4960

Answer:

[tex]\boxed {\boxed {\sf 260 \ feet}}[/tex]

Step-by-step explanation:

We are asked to find the driver's altitude increase. The increase in altitude is also the height of the triangle, which is labeled a.

Since this is a right triangle (signified by the small square representing a 90 degree angle), we can use trigonometry. The three trigonometric ratios are:

The angle (θ) given is 3 degrees. Side a is opposite this angle and the side measuring 4,960 feet is the hypotenuse because it is opposite the right angle. Therefore, we use sine.

[tex]sin \theta= \frac {opposite}{hypotenuse}[/tex]

[tex]sin 3= \frac {a}{4960}[/tex]

We are solving for a, so we must isolate the variable. It is being divided by 4960 and the inverse of division is multiplication. Multiply both sides by 4960.

[tex]4960*sin 3= \frac {a}{4960}*4960[/tex]

[tex]4960*0.05233595624= a[/tex]

[tex]259.586343=a[/tex]

Round to the nearest whole number. The 5 in the tenth place tells us to round the 9 to a 0 in the ones place, then the 5 to a 6 in the tens place.

[tex]260 \approx a[/tex]

The driver's increase in altitude is approximately 260 feet.

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