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a building 62 feet tall casts a shadow 21 meters long . at what angle is the sun shining on the building?

2 Answers

11 votes

Answer:

71.29

Explanation:

User Konrad Albrecht
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3.6k points
9 votes

9514 1404 393

Answer:

42.0°

Explanation:

To compute the angle, we need the measures in compatible units. It can be convenient to convert feet to meters.

Tan = Opposite/Adjacent

tan(angle of elevation) = (building height)/(shadow length)

angle of elevation = arctan((62 ft)(0.3048 m/ft)/21 m) = arctan(18.8976/21)

angle of elevation ≈ 41.984°

The angle of elevation of the sun is about 42.0°.

User McFizz
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4.1k points