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Serga [27]
3 years ago
9

You observe a plane approaching overhead and assume that its speed is 600 miles per hour. The angle of elevation of the plane is

19° at one time and 59° one minute later. Approximate the altitude of the plane. (Round your answer to two decimal places.)

Physics
1 answer:
scZoUnD [109]3 years ago
4 0

Answer:4.34 miles

Explanation:

first  Elevation =19^{\circ}

After 1 minute Elevation changes to 59^{\circ}

Ditsance travelled in 1 minute =600\times \frac{1}{60}=10 mile

Now

tan59=\frac{H}{x}

H=xtan59

tan19=\frac{H}{10+x}

H=\left ( 10+x\right )tan19

Equating H

we get

1.319x=10tan19

x=2.61 miles

H=2.61\times tan59=4.34 miles

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