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An airplane mechanic stands on a runway with a horizontal distance of 28 feet from the base of a control tower. The mechanic sees a pilot in the top of the control tower, 25 feet from the ground. Find the distance (to the nearest tenth of a foot) between the mechanic and pilot.. . Distance, to the nearest tenth = ___ ft.

Verified Answer :

oopsydaisy

The distance to the nearest tenth of a foot between the mechanic and pilot is 37.5 ft.

Answer:

Distance between Pilot and Mechanic is 37.54 feet

Step-by-step explanation:

Distance between tower and mechanic, BM = 28 feet

Distance between top and foot of tower = Height of tower, PB = 25 feet

To find: Distance between pilot and mechanic, PM

Tower and ground are perpendicular to each other

⇒ There is 90° angle between them.

Using Pythagoras Theorem,

PM² = 28² + 25²

PM² = 784 + 625

PM² = 1409

PM = √1409

PM = 37.54

Therefore, Distance between Pilot and Mechanic is 37.54 feet

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