At 8:00 am, a building casts a shadow 75 feet long. The angle where the ray from the sun meets the ground is 50°. How tall is the building?

the angle of elevation of shadow from building is 50 degrees tan 50=height of building/length of shadow=h/75 h=75tan50=75(1.192)=89.38 feet the height of the building is 89.38 feet

Answered by madankapoor10 | 2024-06-10

To find the height of the building, we use the tangent function in trigonometry. The height is calculated using the formula h = 75 tan ( 50° ) , which gives an approximate height of 89.39 feet. This involves using the length of the shadow and the angle of elevation from the shadow to the top of the building.
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Answered by madankapoor10 | 2025-01-14