Answer:
26.6 m
Step-by-step explanation:
The bottom of the balloon, its top and the your position(where you are standing make the 3 vertices of a right angled triangle.
o we are going to your the trigonometric ratios to find the height of the balloon.
Tangent θ = opposite/Adjacent
opposite is the height, h
adjacent is the horizontal distance = 50 m
Angle θ = 28
∴tan 28° = h/50
h = 50 × tan 28
= 50 × 0.5317
= 26.6 m