Answer: the height of the helicopter is 22.33 yards
Step-by-step explanation:
The diagram illustrating the scenario is shown in the attached photo. A triangle, ABC is formed.
H represents the height of the helicopter.
x + y = 52
x = 52 - y
We would apply trigonometric ratio.
tan # = opposite side/adjacent side.
Tan 48 = H/x
H = xtan48
H = tan48×(52 - y)
H = 1.1106(52-y)
Also,
Tan 35 = H/y
H = ytan35
H = 0.7002×y
H = 0.7002y
Since H = H, therefore
1.1106(52-y) = 0.7002y
57.7512 - 1.1106y = 0.7002y
0.7002y + 1.1106y = 57.7512
1.8108y = 57.7512
y = 57.7512/1.8108
y = 31.89
Recall,
H = 0.7002y
H = 0.7002 × 31.89 = 22.33 yards
