Mathematics
Grade9
Easy
Question
A small airplane climbs at an angle of 16o with the ground. Find the horizontal distance it has flown to reach an altitude of 800 meters.
- 12,800 meters
- 229.40 meters
- 2,789.93 meters
- 45.77 meters
Hint:
Tan x = horizontal distance / altitude
The correct answer is: 2,789.93 meters
Tan x = horizontal distance / altitude
tan 16 = horizontal distance / 800
tan 16 = 0.286
horizontal distance = 0.2867 x 800
Horizontal distance = 229.36 meters.
sin x = opposite side / hypotenuse side
cos x = adjacent side / hypotenuse side
tan x = sin x / cos x
