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 #theta=28^0#.

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

#sin theta = V/D or V= D*sin theta= 3 sin28 = 1.41 (2dp) m and cos theta = H/D or H = D cos theta= 3 cos 28 = 2.65(2dp) m#

The length of two sides of gate are # 1.41 (2dp) m and 2.65(2dp) m#

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