Question #4079c

1 Answer
Feb 9, 2017

The length of longer side of gate is 2.65(2dp)m

Explanation:

The angle between diagonal strut (D) horizontal side of gate is θ=280.

So strut forms a right triangle with horizontal side(H) and vertical side(V) of the rectangular gate.

sinθ=VDorV=Dsinθ=3sin28=1.41(2dp)mandcosθ=HDorH=Dcosθ=3cos28=2.65(2dp)m

The length of two sides of gate are 1.41(2dp)mand2.65(2dp)m

So the length of longer side of gate is 2.65(2dp)m .[Ans]