Question

An airplane is flying in still air with an airspeed of 275 miles per hour. The plane is climbing at an angle of 26°. Find the rate (in mi/hr) at which the plane is gaining altitude.

A) 113.45
B) 120.17
C) 129.82
D) 135.60

Answer 1

The rate at which the airplane is gaining altitude is approximately 120.17 miles per hour.

Step-by-step explanation:

To find the rate at which the airplane is gaining altitude, we can use trigonometry and the given information. The airspeed of the airplane is 275 miles per hour and it is climbing at an angle of 26°. We can use the sine function to find the rate of altitude gain.

The rate of altitude gain is given by the formula: Rate of altitude gain = airspeed * sin(angle). Plugging in the values, we get: Rate of altitude gain = 275 * sin(26°). The rate at which the airplane is gaining altitude is approximately 120.17 miles per hour.

Using a calculator, we can find that the rate of altitude gain is approximately 120.17 miles per hour.