# Trigonometry

posted by .

A plane is observed approaching your home and you assume its speed to be 550 miles per hour. The angle of elevation of the plane is 16 degrees and one minute later is 57 degrees. Approximate the altitude of the plane.

Draw yourself a figure with two triangles. Both have an apex at your location and a common vertical side going striaght up from there a distance h, where h is the altitude. In one mionute, the plane flys horizontally a distance V t = 550 mile/hr*1/60 hr = 9.17 miles.
h cot 16 - h cot 57 = 9.17 miles
Solve for h.
I get h = 3.23 miles.

## Similar Questions

1. ### geometry

if a plane leaves a horizontal at an angle of 60 degrees and at 1 minute reaches a point of 12 miles how fast is the plane going.... "reaches a point of 12 miles" is ambiguous. Do you mean 12 miles in the air (elevation), perpendicular …
2. ### Calculus

An airplane flies at an altitude of 5 miles toward a point directly over an observer. The speed of the plane is 600 miles per hour. Find the rate at which the angle of elevation tetra is changing when the angle is 30 degrees
3. ### Trigonometry

You observe a plane approaching overhead and assume that its speed is 700 miles per hour. The angle of elevation of the plane is 16° at one time and 58° one minute later. Approximate the altitude of the plane
4. ### Plane Trigometry

You observe a plane approaching overhead and assume that its speed is 550 miles per hour. The angle of elevation of the plane is 16 degrees at one time and 57 degrees one minute later. Approximate the altitude of the plane.
5. ### Math

You observe a plane approaching overhead at a speed of 600 mph. The angle of elevation of the plane is 14 degrees at one time and 54 degrees two min later. A) What is the altitude of the plane?
6. ### math

At an airport, a flight controller was in a tower 40m above the ground. When she first observed a plane it was at an angle of elevation of 12 (degrees) from her line of sight and flying at a constant altitude (height) The plane had …
7. ### Trigonometry

A jet plane flying 6000 m above the ground passed directly above Ana. one minute later, Ana noticed that the plane's angle of elevation was 18 degrees 34 minutes. What was the horizontal distance covered by the plane?
8. ### Math

An airplane in Australia is flying at a constant altitude of 2 miles and a constant speed of 600 miles per hour on a straight course that will take it directly over a kangaroo on the ground. How fast is the angle of elevation of the …
9. ### Math

A military plane maintains an altitude of 15,000 feet over a vast flat desert. It flies at a constant speed on a line that will take it directly over an observer on the ground. At noon, the angle of elevation from the observer’s …
10. ### Trigonometry

A plane at an altitude of 12,000 feet finds the angle of depression for a building ahead of the plane to be 10.4 degrees. With the building still straight ahead, two minutes later the angle of depression is 25.6 degrees. Find of the …

More Similar Questions