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.

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 a class=

Respuesta :

Louli
Answer:
Area of scenery = 7.2 m²

Explanation:
The area of the triangle can be calculated when knowing two sides and the included angle as follows:
Area = [tex] \frac{1}{2} [/tex] * 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 :)