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Tom sees an enormous thundercloud approaching
from the west. He sees a lightning flash at the top
of the cloud and hears thunder 15 seconds later. His
angle of sight to the top of the cloud is 65°. How
high is the top of the thundercloud off the ground?
Sound takes 5 seconds to travel 1 mile.

Tom Sees An Enormous Thundercloud Approaching From The West He Sees A Lightning Flash At The Top Of The Cloud And Hears Thunder 15 Seconds Later His Angle Of Si class=

Sagot :

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 https://brainly.com/question/18090623

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