Question

Two questions please help?

1. The figure shows the dimensions of a piece of scenery that will be painted to represent a mountain.
What is the area of this piece of scenery?
Enter your answer as a decimal in the box. Round only your final answer to the nearest tenth.

2. What is the area of △PQR
Enter your answer as a decimal in the box. Round only your final answer to the nearest tenth.

Answer 1

21.5, just took the test!!!!

Answer 2

The area of triangle PQR is

`A=21.5\ cm^(2)`

Explanation:

we know that

The area of a triangle is equal to

`A=(1)/(2)bh`

see the attached figure to better understand the problem

we have

`b=14\ cm`

`h=PS\ cm`

Find the length side of segment PS

In the right triangle PSR

`sin(20\°)=(PS)/(PR)`

Solve for PS

`PS=PRsin(20\°)`

we have

`PR=9\ cm`

substitute

`PS=(9)sin(20\°)`

Find the area of the triangle PQR

`A=(1)/(2)(14)((9)sin(20\°))`

`A=21.5\ cm^(2)`