math
posted by Kindell .
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.

draw two triangles, one that has an angle of 71.5º and another with an angle of 51.6º
lets find the base in each one, call the first one x, the other one y
tan71.5 = 28000/x
x = 28000/tan71.5 = 9368.67
tan51.6 = 2800/y
y = 22192.53
So the horizontal distance travelled in 73 seconds is yx = 12823.86
speed = distance/time = 12823.86/73
= 128.34 m/second
BTW, that airplane must be a spacecraft to fly at a height of 28 km, lol 
I need help with Fraction vocabulary worksheet

If that is the case, then this should be a new question and thus a new topic.
Respond to this Question
Similar Questions

math help pls
Two observers who are 5 km apart simultaneously sight a small airplane flying between them. One observer measures a 51.0degree inclination angle, while the other observer measures a 40.5degree inclination angle. At what altitude … 
calculus
An airplane at a height of 2000 meters is flying horizontally, directly toward an observer on the ground, with a speed of 300 meters per second. How fast is the angle of elevation of the plane changing when this angle is 45 degrees? 
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 … 
Math
An aircraft which is maintaining a constant altitude of 1000 meters is travelling directly away from an observer. At a particular instant the sngle of elevation is 52 degrees and 12 seconds later the angle of elevation is 16 degrees. … 
Calculus
Derivatives  chain rule An airplane, flying horizontally at an altitude of 1 mile, passes directly over an observer. If the constant speed of the airplane is 400 miles per hour, how fast is its distance from the observer increasing … 
Calculus
Derivatives  chain rule An airplane, flying horizontally at an altitude of 1 mile, passes directly over an observer. If the constant speed of the airplane is 400 miles per hour, how fast is its distance from the observer increasing … 
Physics
An airplane is flying above an observer standing on the ground. At the moment it passes overhead, the observer judges by its apparent size that the airplane’s altitude is 30,000 feet. It takes 50 seconds for the plane, moving in … 
Calculus
An airplane is flying above an observer standing on the ground. At the moment it passes overhead, the observer judges by its apparent size that the airplane’s altitude is 30,000 feet. It takes 50 seconds for the plane, moving in … 
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 …