A tower 400 ft tall is near a shorter building, and the ground between them is horizontal. A person at the base of the tower measures a 65 degree angle of elevatoin to the top of the building. A person at the top of the tower measures a 15 degree angle of depression to the top of the building. a) draw a diagram depicting this situationb)find the height of the building. Calculate the solution to the nearest tenth foot.

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Asked Nov 5, 2019
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A tower 400 ft tall is near a shorter building, and the ground between them is horizontal. A person at the base of the tower measures a 65 degree angle of elevatoin to the top of the building. A person at the top of the tower measures a 15 degree angle of depression to the top of the building. 

a) draw a diagram depicting this situation

b)find the height of the building. Calculate the solution to the nearest tenth foot. 

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Expert Answer

Step 1

Part (a):

From the information, diagram is shown,

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В 150 Tower h=? h-400 ft Building 650 С

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Step 2

Part (b):

To find: The height of building.

Consider, AD = y.

From the angle of depression, we found the remaining angle,

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(i.e.) 90-15° = 75° В 150 750 Tower h h=400 ft Building 650 A С

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Step 3

From the triang...

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Math

Trigonometry