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aleksley [76]
3 years ago
13

The cable supporting a ski lift rises 2 feet for each 5 feet of horizontal length. The top of the cable is fastened 1320 feet ab

ove the cable’s lowest point. Find the lengths b and c, and find the measure of the angle theta.
Mathematics
1 answer:
ollegr [7]3 years ago
5 0
The resulting triangle is a right triangle with the third side given:
First, the angle can be solved using the given rise and run of the cable. So,
tan θ = 2 / 5
θ = 15.95°

Next, the lengths b and c can be solved using the solved angle:
tan 15.95 = 1320 / b
b = 3300 ft

The hypotenuse or c can be solved by trigonometric functions or using Pythagorean theorem, using the sine function:
sin 15.95 = 1320 / c
c = 4804 ft
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