haneenmkmoycooe haneenmkmoycooe

12-07-2021
Mathematics

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a tree 15m high casts a shadow 8m long. To the nearest degree what is the angle of elevation of the sun?

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BasMi25973 BasMi25973

12-07-2021

Answer:

Answered March 20, 2021

This is a right angle triangle where the hypotenuse a^2 = b^2 + c^2

= 15^2 + 8^2 = 225+64= 289

289= 17^2

17 = hypotenuse

The sine of an angle is the ratio of the shortest side to the hypotenuse

= 8/17= 0.4705

sine^-1 0.4705 = 28°

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