- 1.

In order to unload clay easily, the body of a dump truck must be elevated to at least 45Β°. The body of a dump truck that is 12 feet long has been raised to 8 feet. Will the clay pour out easily?

- 2.

Find the area of sector GHJ given that π = 40Β°. Use 3.14 for π and round to the nearest tenth.

- 3.

What is the area of βπ΅πΆπ· to the nearest tenth of a square centimeter?

TriggeringAngel
May 3, 2018

#1**+1 **

1. The 12 ft can be considered the hypotenuse of a right triangle

And the 8 ft can be considered the leg opposite the angle we are considering

So....to find out if this angle is at least 45Β°, we have take thw sine inverse of 8/12

So we have

asin (8/12) = the angle β 41.8Β°.....so....it won't pour out smoothly

2. Area = (3.14) r^2 * (40/ 360) =

(3.14) * 4^2 * 1/9 =

16 * 3.14 / 9 =

5.6 cm^2

3. We have a 30-60-90 right triangle.....the side opposite the 30 degree angle = 10 = base

And the side oposite the 60 degree angle = 10β3 cm = height

So....the area is (1/2) base * height =

(1/2) 10 * 10β3 =

50β3 cm^2 β 86.6 cm^2

CPhill
May 3, 2018