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A roofer is stng on the roof of a house 60ft above the ground. His truck is parked 25ft from the house. What is the angle of depression from the roofer to his truck?

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Answer: 68.20 degrees

Explanation: To determine the angle of depression from the roofer to his truck, we can use trigonometry. The opposite side is the vertical distance between the roofer and the truck, which is 60ft. The adjacent side is the horizontal distance between the roofer and the truck, which is 25ft.

Using the tangent function, we can calculate the angle of depression as:

tan(angle) = opposite/adjacent

tan(angle) = 60/25

Calculating the tangent of the angle gives:

angle = arctan(60/25)

angle ≈ 68.20 degrees

Therefore, the angle of depression from the roofer to his truck is approximately 68.20 degrees.

User StevenC
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