Answer:
The angles are 79.45, 59.02 and 41.53 degrees to the nearest hundredth.
Step-by-step explanation:
We have a triangle with sides of length 8.6, 5.8 and 7.5 feet.
Using the Cosine Rule to find the measure of the angle opposite the side of length 8.6 feet:
cos X = (8.6^2 - 5.8^2 - 7.5^2) / ( -2*5.8*7.5)
= 0.18310
X = 79.45 degrees.
We can now find another angle using the sine rule:
8.6 / sin 79.45 = 7.5/ sin Y
sin Y = (7.5 * sin 79.45) / 8.6
Y = 59.02 degrees
So the third angle = 180 - 79.45 - 59.02
= 41.53 degrees.
7.5-3.25=4.25 tons.
The truck weights 4.25 tons.
Check with other answers, although I'm pretty sure its correct.
Heart if helpful :D
34km/h*2.5 hours=85km
30km/h*7.3 hours=219km
This makes a right triangle, so you plug it into the Pythagorean Theorem. The result is 234.92km from Port Cassett.
