Question

Tom sees an enormous thundercloud approaching

Answer 1

Using the slope concept, it is found that the thundercloud is 6.43 miles above the ground.

What is a slope?

The slope is given by the vertical change divided by the horizontal change, and it's also the tangent of the angle of depression.

In this problem, we have that:

• The angle is of 65º.

• The vertical distance is the height h.

• The horizontal distance is of 3 miles, as the sound takes 5 seconds to travel 1 mile, and it took 15 seconds.

Hence:

tan(65º) = h/3.

h = 3 x tan(65º)

h = 6.43 miles.

The thundercloud is 6.43 miles above the ground.

More can be learned about the slope concept at brainly.com/question/18090623

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