Question

The angle of elevation to the top of a Building in New York is found to be 2 degrees from the ground at a distance of 2 miles from the base of the building. Using this information, find the height of the building. Round to the tenths. Hint: 1 mile = 5280 feet

Answer 1

Check the picture below.

make sure your calculator is in Degree mode.

Answer 2

Answer:

The height of the building is 368.5 ft.

Step-by-step explanation:

Given information:

the angle of elevation of the building in Newyork is $\theta =2^{\circ}$

The distance of observation point from the building is

$l=2\rm \; miles\\\mathit l=2\times5280=10560 \rm \; ft$

It is required to calculate the height of the building. Use the concept of trigonometry to find the height,

$tan \theta =\dfrac{h}{l}\\tan2^{\circ}=\dfrac{h}{10560}\\h=0.0349\times 10560\\h=368.5 \rm \; ft$

So, the height of the building is 368.5 ft.

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