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zhannawk [14.2K]
3 years ago
6

A 5-foot tall person standing with her back to the sun casts an 12-foot long shadow. To the nearest degree, what angle does the

sun make with the ground? Enter your answer in the box. °
Mathematics
1 answer:
swat323 years ago
5 0

Answer:

  • 23°

Explanation:

<u>1) Data:</u>

a) height of the person = opposite-leg to the angle the sun makes with the ground = 5 ft

b) length of the shadow = adjacent-leg to the angle the sun makes with the ground = 12 ft

c) angle, α = ?

<u>2) Solution</u>

  • tanα = opposite-leg / adjacent-leg

  • tanα = 5 ft / 12 5t = 5/12

  • α = arctan(5/12) = 22.6°

  • 22.6° rounded to the nearest degree is 23° ← answer
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