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.

Step-by-step 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,

$\sin \theta=\dfrac{Hypoteuse}{height}\\\\\Rightarrow\ \sin 79^{\circ}=\dfrac{28}{height}\\\\\Rightarrow\ 0.98162718344=\dfrac{28}{height}\\\\\Rightarrow\ height = 0.98162718344\times28\\\\\Rightarrow\ height = 0.98162718344\times28\approx27.5$

hence, balloon is 27.5 ft high.