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?

Question

1067 views around the world

You can reuse this answer
Creative Commons License

Answer 1 · 2018-02-07T01:24:57

See below.

enter image source here
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#