Question

An aircraft is approaching the runway to land The aircraft is at a height of h= 314 meters from the runway. The angle of

elevation a from the top of an air traffic control tower to the aircraft is is 16 If the height of the tower is 70 meters about how
far is the aircraft from the top of the tower?

A. 327 meters
B. 254 meters
C. 1140 meters
D. 886 meters

Answer 1

easy peasy

Explanation:

u see,

the height of the airplane from the ground is 314m

but with the tower's horizontal plane, it would be

=> altitude of aircraft - height of tower

=> 314 - 70 = 244 m

now in the ABC,

using the ratio of sine,

sin 16 = AB/AC

=> 0.275 = 244/AC

=> AC = 244/ 0.275

=> AC = 887.9...

=> AC = approx. 886 meters