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Alchen [17]
3 years ago
12

A 15ft. wire is tied to the top of a tree to provide support. If the wire forms a 25° angle with the ground, what is the height

of the tree to the nearest hundredth?
Mathematics
1 answer:
lana [24]3 years ago
4 0

Answer: 6.34\ ft

Step-by-step explanation:

Given

The length of the wire is l=15\ ft

The Wire makes an angle of 25^{\circ} with horizontal

Suppose the height of the tree is h

From the figure, we can write

\Rightarrow \sin 25^{\circ}=\dfrac{h}{l}\\\\\Rightarrow h=l\sin 25^{\circ}\\\Rightarrow h=15\sin 25^{\circ}\\\Rightarrow h=6.34\ ft

Thus, the height of the tree is 6.34\ ft

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