Question

A painter is going to apply a special coating to a triangular metal plate on a new building. Two sides

measure 14.9 cm and 14.7 cm. She knows that the angle between the two sides is 124°. What is the
area of the surface she plans to cover with the coating?

Answer 1

`Area = 90.03cm^2`

Explanation:

Given

`s_1 = 14.9`

`s_2 = 14.7`

`\theta = 124` --- angle in between

Required

The area of the plate

Since
`\theta = 124` is between
`s_1` and
`s_2`

The area is:

`Area = (1)/(2) * s_1 * s_2 * \sin(\theta)`

`Area = (1)/(2) * 14.9 * 14.7 * \sin(124.7)`

`Area = (1)/(2) * 14.9 * 14.7 * 0.8221`

`Area = 90.03cm^2`