Question

A balloon 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.

Answer 1

Answer:

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,

$\tan x=\frac{perpendicular}{base}$

i.e. $\tan x=\frac{12}{18}$

i.e. $\tan x=0.67$

i.e. $x=\arctan 0.67$

i.e. x= 33.82°

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