Question

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.

Answer 1

Answer:
Area of scenery = 7.2 m²

Step-by-step explanation:
The area of the triangle can be calculated when knowing two sides and the included angle as follows:
Area =
`(1)/(2)` * side1 * side2 * sine(the angle between them)

In the given:
side1 = 4 m
side2 = 8.5 m
The angle between them = 25°

Substitute with the givens in the above formula to get the area as follows:
area = 0.2 * 4 * 8.5 * sin(25)
area = 7.184 which is approximately 7.2 m²

Hope this helps :)