Question

A balloon rises vertically from point p on level ground. From point a, on level ground 28ft from point p, the angle of elevation to the balloon is 79\deg . How high is the balloon?

Answer 1

Answer: Balloon is 27.5 ft high.

Explanation:

As per the give , we made a diagram (in attachment).

To find the vertical distance from the growth we consider entire triangle as right triangle , where height is making right angle with ground.

in right triangle,

`\sin \theta=(Hypoteuse)/(height)\\\\\Rightarrow\ \sin 79^(\circ)=(28)/(height)\\\\\Rightarrow\ 0.98162718344=(28)/(height)\\\\\Rightarrow\ height = 0.98162718344*28\\\\\Rightarrow\ height = 0.98162718344*28\approx27.5`

hence, balloon is 27.5 ft high.