You are standing 50 meters from a hot air balloon that is preparing to take off. The angle of the elevation to the top of the balloon is 28. Find the height of the balloon

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