Question

Kim is watching a rocket launch from an observation spot 6 miles away. Find the angle of elevation from Kim to the rocket, which is at a height of 5.7 miles.

a) 38.1 degrees
b) 45 degrees
c) 53.1 degrees
d) 60 degrees

Answer 1

The angle of elevation from Kim to the rocket is approximately 38.1 degrees.

Step-by-step explanation:

We can solve this problem using trigonometry. Let's consider an imaginary right triangle formed by the vertical height of the rocket and the horizontal distance from Kim to the rocket. The angle of elevation can be found using the tangent function, which is opposite divided by adjacent.

Tan(angle) = height/distance

Tan(angle) = 5.7/6

Angle = arctan(5.7/6)

Using a calculator, we find that the angle of elevation from Kim to the rocket is approximately 38.1 degrees.