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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.)

Respuesta :

Answer:4.34 miles

Explanation:

first  Elevation =[tex]19^{\circ}[/tex]

After 1 minute Elevation changes to [tex]59^{\circ}[/tex]

Ditsance travelled in 1 minute =[tex]600\times \frac{1}{60}[/tex]=10 mile

Now

tan59=[tex]\frac{H}{x}[/tex]

H=xtan59

tan19=[tex]\frac{H}{10+x}[/tex]

H=[tex]\left ( 10+x\right )tan19[/tex]

Equating H

we get

1.319x=10tan19

x=2.61 miles

H=[tex]2.61\times tan59[/tex]=4.34 miles

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