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kari74 [83]
2 years ago
13

An escalator 152 feet in length rises to a platform and makes a 31° angle with the ground. Find the height of the

Mathematics
1 answer:
grigory [225]2 years ago
4 0

Answer:

78.3 or 78.29

Step-by-step explanation:

We are asked to find the height of the figure which is the vertical side of the triangle. We are given an angle and we are a side opposite of that angle( the height of the platform) and the hypotenuse 152. So we are going to use sine.

Opposite/Hypotenuse

We use this equation

\sin(theta)  =  \frac{opp}{hypo}

Plug in the values

\sin(31)  =  \frac{x}{152}

Which is about 78.29

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Substitute for b and find m using eq(1).

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