Aballoon is rising vertically at the rate of 12 feet per second; at the same time, it is being blown horizontally by a wind of 18 feet per second. find the angle its path makes with the horizontal.

Angle is 33.82°

Step-by-step explanation:

It is given that, from the figure below,

Vertical distance = 12 feet

Horizontal distance = 18 feet.

Using the trigonometric rule for the right triangles, we have,

i.e.

i.e.

i.e.

i.e. x= 33.82°

Thus, the angle made by the path with the horizontal is 33.82°.