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

Remember SOH CAH TOA

we want the angle between the ground and the hypotenuse

which gives us

$\tan( \frac{12}{18} ) = \tan( \frac{2}{3} )$

or 45.08 degrees

Answer 2

Answer:

34 degrees

Step-by-step explanation: tanΘ = opp/adj the opposite angle is 18 and the adjacent angle is 12, this is because the triangle is upside down thus, the 90 degrees is formed with the horizontal, and theta is the part of that 90 degrees made with the horizontal. Therefore, solve for the angle inside the triangle then subtract that from 90 and you have theta.