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

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

The distance of observation point from the building is

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

So, the height of the building is 368.5 ft.

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Check the picture below.

make sure your calculator is in Degree mode.

according to the triangle sum theorem, all the angles in a triangle must add up to 180 degrees. if we know one angle is already 90, we do 180-90=90. the other 2 angles must add up to 90, exactly.

step-by-step explanation:

second option

step-by-step explanation:

the measures of a triangle equal 180. use that to find x.

2x+3x+4x=180

9x=180

9x/9=180/9

x=20

now you know x, you know angle a is 40°, angle b is 60°, angle c is 80°.

because angle a is 40°, the first option doesn't work.

because angle b is 60°, the second option does work.

when you add angle a and b, you get 100°. complementary means it equals 90°, so the third option doesn't work.

when you add angle a and c, you get 120°, which is not 100.