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icang [17]
2 years ago
15

A local high adventure park has a zip line that begins 46 feet in the air. The angle of elevation of the cable is 35º. Estimate

the length of
the zip line cable. Round your answer to the nearest hundredth if necessary.
Mathematics
1 answer:
Oxana [17]2 years ago
4 0

Answer: 80.2\ ft

Step-by-step explanation:

Given

Zipline begins h=46\ ft in the air

The angle of elevation is 35^{\circ}

Assume the length of the cable is l

from the figure, we can write

\Rightarrow \sin 35^{\circ}=\dfrac{46}{l}\\\\\Rightarrow l=\dfrac{46}{\sin 35^{\circ}}\\\\\Rightarrow l=80.19\approx 80.2\ ft

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