Question

the diagonal of a rectangle is three times the length of the shorter side. find the angle between the diagonal and the longer side.

Answer 1

Answer:

19.47º

Step-by-step explanation:

Define x:

Let the breadth be x

The diagonal of a rectangle is three times the length of the shorter side:

The diagonal = 3x

Find the angle between the diagonal and the longer side.

sin θ = opp/hyp

sin θ = x/3x

sin θ = 1/3

θ = sin⁻¹ (1/3)

θ = 19.47º

Answer: The angle between the diagonal and the longer side is 19.47º