A 12ft ramp rests against the edge of the floor at the back door of a truck. To make it stable 2.5 ft, of the ramp extends beyond the edge of the floor, which is 3.5 ft above the level ground. Find the cosine and tangent That makes with the ground?

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Answer 1 · 2018-02-07T01:24:57

See below.

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From the diagram:

#bb(c)=bb(a)-bb(b)=12-2.5=9.5#

By Pythagoras's theorem:

#d^2=9.5^2-3.5^2=78#

#d=sqrt(78)#

#costheta=sqrt(78)/9.5~~0.92964#

#tantheta=3.5/sqrt(78)~~0.39630#