Question

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

Answer 1

Answer:

26.59

Step-by-step explanation:

Answer 2

Given:

Distance from balloon = 50m

The angle of elevation of the balloon = 28 degrees

To Find:

Height of the balloon

Solution:

Let us assume the height of the balloon x

The angle of elevation is the angle it is making with the ground.

The angle of elevation (∅) = 28°

Distance from balloon (b) = 50 m

Here, we have the angle of elevation and base value given

So, by applying the trigonometric formula we can find the height of the balloon

Tan∅ = (Perpendicular/ Base)

According to question

Tan∅ = x/50

Tan28° = x/50

0.53  = x/50

x = 0.53×50

x = 26.5

Hence, the height of the balloon is 26.5m.