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Construction A loading ramp 10 feet long that makes an angle of 18° with the horizontal is to be replaced by one that makes an angle of 12° with the horizontal. How long is the

new ramp?

Short Answer

Expert verified

The new ramp is 14.86 feet long.

Step by step solution

01

Step 1. Given Information

A 10 ft loading ramp makes an 18∘angle with the horizontal. It is being replaced by a loading ramp which makes localid="1649067956170" 12∘angle with the horizontal.

Uselocalid="1649067960386" sinAa=sinBb=sinCc

02

Step 2. Find the angle which completes the line 

θ+18=180θ=162∘

03

Step 3. Finding length of ramp

By using

sin162l=sin1210l×sin12=10×sin162l=10×sin162sin12=14.86feet

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