114k views
1 vote
Q # 18 .please solve equation

Q # 18 .please solve equation-example-1
User Durin
by
6.2k points

2 Answers

3 votes
From SOH CAH TOA, you know that
Tan(θ) = Opposite/Adjacent
Solving for "Adjacent", we have
Adjacent = Opposite/tan(θ)

For this problem, θ = 27° and Opposite = 50 ft. The horizontal distance (Adjacent) is ...
Adjacent = (50 ft)/tan(27°) ≈ 98 ft

The appropriate choice is the second one, ...
98 ft

_____
If it is easier to visualize the geometry involved, realize that the angle of elevation from the plane to the tower is the the same as the angle of depression from the tower to the plane (27°).
Q # 18 .please solve equation-example-1
User Marinelly
by
6.6k points
3 votes
Draw a diagram.
You will get
h = 50
A = 27
Solve for x.
So tan 27 = 50 / x
x will round to 98 feet
User Matthew Poer
by
5.8k points