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Lady_Fox [76]
3 years ago
13

A tree casts a shadow that is 150 feet long. If the angle of elevation from the tip of the shadow to the top of the tree is 30°,

how tall is the tree to the nearest foot?
A) 75 feet

B) 87 feet

C) 106 feet

D) 212 feet

Mathematics
1 answer:
Eduardwww [97]3 years ago
7 0
<h3>Answer:</h3>

B) 87 feet

<h3>Step-by-step explanation:</h3>

The mnemonic SOH CAH TOA reminds you the relationship between angle, adjacent, and opposite sides is ...

... Tan = Opposite/Adjacent

In this geometry, the side adjacent to the angle is marked 150 ft, and the side opposite the angle is the height we want to find. This means ...

... tan(30°) = height/(150 ft)

Multiplying by 150 ft, we get ...

... height = (150 ft)·tan(30°) ≈ 87 ft

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The area of room is 812 square feet, cost of carpet to cover the room is $6739.6 and the remaining square feet of carpet are covered by furniture is 203 square feet.

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brainly.com/question/1410008

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