Question

You are at a parade looking up at a large balloon floating directly above the street. You are 60 feet from a point on the street directly beneath the baloon. To see the top of the baloon, you look up at an angle of 53°. To see the bottom of the ballon you look up at an an angle of 29°. Estiamte the height, h, of the balloon to the nearest foot. Answer with only the numeric value

Answer 1

Answer:

The height of the balloon is 46 feet.

Step-by-step explanation:

Let the height from the ground to the top of the balloon be represented by x. Applying the appropriate trigonometric function, we have;

Looking at the top of the balloon,

Tan θ = $\frac{opposite}{adjacent}$

Tan 53° = $\frac{x}{60}$

x = 60 x Tan 53°

  = 79.6227

x = 79.62 feet

Looking at the bottom of the balloon, let the height from the ground to the bottom of the balloon be represented by y.

Tan θ = $\frac{opposite}{adjacent}$

Tan 29° = $\frac{y}{60}$

y = 60 x Tan 29°

  = 33.2585

y = 33.26 feet

The height of the balloon = x - y

                                           = 79.6227 - 33.2585

                                           = 46.3642

The height of the balloon is 46 feet.