nevaehwilsonhuerta nevaehwilsonhuerta

23-05-2021
Mathematics

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The top of a 220 foot vertical tower is to be anchored by cables that make an angle with a measure of 53 degrees with the ground.
How long must each cable be?_ feet
How far from the base of the tower should the anchors be placed? feet

Respuesta :

parker4216 parker4216

23-05-2021

Answer:

175.70 ft, 291.95 ft

Step-by-step explanation:

First step is always a diagram, and writing out trig functions for reference:

SOH CAH TOA

First, solving for length of the cable, ie the hypotenuse:

sin53 = 220 / hyp

hyp sin53 = 220

hyp = 220 * sin53

hyp = 175.70 feet

Then, solving for the base length:

tan53 = 220 / adj

adj * tan53 = 220

adj = 220 * tan53

adj = 291.95 feet

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