The Truck Trigonometry

Geometry Level 2

A helicopter is hovering 800 feet above a road. A truck driver observes the helicopter at a twenty degree angle. Twenty five seconds later the truck driver notices the angle of the helicopter is now at sixty five degrees. How fast is the truck moving? Round your answer to the nearest foot.

199ft/sec 110ft/sec 73ft/sec 10ft/sec

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Aryan Chandra by Aryan Chandra , 20, India

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2 solutions

On first position, the dist will be 800/tan20

On second position, the dist will be 800/tan65

Speed = Distance / time

i.e. 2197098/373.04 = 72.99 = 73ft/sec

3 Helpful 2 Interesting 1 Brilliant 1 Confused

Note that the problem previously stated sixty degrees instead of sixty five degrees. I have updated the problem accordingly.

Calvin Lin Staff - 6 years ago
Ruslan Abdulgani
May 27, 2015

speed = 800(1/tan20 - 1/tan65)/25 = 73 ft/s

3 Helpful 0 Interesting 0 Brilliant 0 Confused

Note that the problem previously stated sixty degrees instead of sixty five degrees. I have updated the problem accordingly.

Calvin Lin Staff - 6 years ago

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