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

Step-by-step explanation:

first Elevation =
`19^(\circ)`

After 1 minute Elevation changes to
`59^(\circ)`

Ditsance travelled in 1 minute =
`600* (1)/(60)`=10 mile

Now

tan59=
`(H)/(x)`

H=xtan59

tan19=
`(H)/(10+x)`

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

Equating H

we get

1.319x=10tan19

x=2.61 miles

H=
`2.61* tan59`=4.34 miles