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Vilka [71]
4 years ago
8

A tree casts a shadow that is 20 feet long. the angle of elevation from the end of the shadow to the top of the tree is 66 degre

es. determine the height of the tree to the nearest foot. answer

Mathematics
2 answers:
Dafna1 [17]4 years ago
5 0

Answer:

Height of tree = 45 feet

Step-by-step explanation:

Refer the given figure.

Shadow length of tree, = AB = 20 ft

The angle of elevation from the end of the shadow to the top of the tree is 66 degrees.

∠ABC = 66°

We have

         tan66=\frac{AC}{AB}\\\\AC=20\times tan66=44.92feet

Height of tree = 44.92 feet = 45 feet

Dmitriy789 [7]4 years ago
3 0
I believe it is 45 feet. Equation: tan(66)=20/x. Change it to 20 tan(66) in a calculator and that is how you get it.
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