Question

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.)

Answer 1

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