Question

A building produces a shadow that is 73 feet long when the elevation of the sun is 59°. What is the height of the building to the nearest foot? It may be necessary to draw a picture to work through this problem.

Answer 1

The height of the building to the nearest foot is 121.5 ft.

How to find height of the building?

The height of the building can be found using trigonometric ratios.

Therefore,

tan 59° = opposite / adjacent

tan 59°= h / 73

cross multiply

h = 73 tan 59°

h = 73 × 1.66427948235

h = 121.492402212

h = 121.5 ft

Therefore, the height of the building to the nearest foot is 121.5 ft.

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