Geom./Trig.
posted by Emma .
an airplane flies directly overhead at 540mph. 1 minute later is seen at an angle of elevation of 34 degrees. how far did the airplane fly during that time? what is the elevation of the plane?

make a sketch.
let P be the position of the observer and point A the position of the plane directly above him
let B be the position of the plane 1 minute later
let the height AP be h miles
mark the angle of elevation as 34°, then angle PBA = 34°
in 1 minute the plane has traveled (1/60)540 or 9 miles
so AB = 9
h/9 = tan34°
h = 9tan34° = 6.07 miles
height of plane = 6.07 miles
distance covered in 1 minute = 9 miles
Respond to this Question
Similar Questions

math
an airplane is flying at a constant altitude of 28000 meters. when first seen to the east of the observer, the angle to the airplane is 71.5 degrees. after 73 seconds, the angle of elevation is 51.6 degrees. find the speed of the airplane. 
algebra
a landing airplane, moving in a straight line , passes over two points (p and q) which are 300 feet apart. when the airplane is above p, as seen from Q, its angle of elevation is 60 degress, and when above Q, as seen from p, its angle … 
trigonometry ASAP!
an airplane is seen from an observation point on the ground at an angle of elevation of 37 degrees. it is seen from a second observation point on the ground 800 yards away from the first observation point at an angle of elevation of … 
Math (PreCalc)
An airplane is flying east at a constant altitude of 28,000 meters. When first seen to the east of an observer, the angle of elevation to the airplane is 71.5 degrees. After 73 seconds, the angle of elevation is 51.6 degrees. Find … 
Math
At an airport, a flight controller is in a tower 45m above the ground. She observes an airplane flying at a constant altitude at an angle of elevation of 14 degrees from her line of sight. Seven seconds later, the airplane flies directly … 
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. 
trigonometry
Two stations A and B are 2,000m apart. When an airplane was directly above A, an observer at B found that the angle of elevation of the airplane is 60° . How far is the plane from the station B? 
Physics/trig
During takeoff, an airplane climbs with a speed of 300 m/s at an angle of 36 degrees above the horizontal. The speed and direction of the airplane constitute a vector quantity known as the velocity. The sun is shining directly overhead. … 
precalc
When an airplane leaves the runway, its angle of elevation is 18 and its speed is 275 feet per second. Find the airplane’s altitude after one minute (60 seconds). Assume a constant angle of elevation. Draw the scenario, if … 
Calculus
Harold is in an airplane that is flying at a constant height of 4505 feet away from a fixed observation point. Maude, whose eyes are 5 feet from the ground, is standing at this point and watching the plane; the angle between her line …