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A ladder 35.4 feet long is leaning against an embarkment inclined 62.5 degrees to the horizontal. If the bottom of the ladder i...Asked by Anonymous
A ladder 35 foot long is leaning against an embankment, inclined 62.5 degrees to the horizontal. if the bottom of the ladder is 10.2 feet from the embankment, what is the distance from the top of the ladder down to the embankment to the ground?
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Answered by
Steve
Draw a diagram. If we label the triangle ABC, with sides a,b,c then the law of sines tells us
sinC/10.2 = sin117.5°/35
Now you have angles B and C, so you know A=180-(B+C)
a/sinA = sin117.5°/35
or
a^2 = 35^2+10.2^2 - 2*35*10.2 cosA
sinC/10.2 = sin117.5°/35
Now you have angles B and C, so you know A=180-(B+C)
a/sinA = sin117.5°/35
or
a^2 = 35^2+10.2^2 - 2*35*10.2 cosA
Answered by
A.B
A 38 ft long ladder is leaning against an embankment inclined at 60 deg. to the horizontal. If the bottom of the ladder is 15 ft from the embankment, what is the distance from the top of the ladder down to the embankment to the ground?
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