Please Help!!!

In order to unload clay easily, the body of a dump truck must be elevated to at least 50°. The body of a dump truck that is 15 feet long has been raised to 9 feet. Will the clay pour out easily? Show your work and draw a diagram to support your answer.

Please include the following:

• A diagram

• The trig equation you are solving and the steps you take to solve it.

• An answer in the context of the problem.
___ (Yes or No), The clay _ (will or will not) pour out easily when the body of the dump truck is raised to 9 feet. I know this because __________________________________.

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sqdancefan sqdancefan · Answer 1 · 2019-06-10T07:22:22+02:00

Answer:

No, the clay will not pour out easily. I know this because the angle of the truck bed is less than 50°, which is the minimum angle for easy pouring.

Step-by-step explanation:

The mnemonic SOH CAH TOA reminds you that ...

Sin = Opposite/Hypotenuse

If α represents the angle of the truck bed, this means ...

sin(α) = 9/15

We can find α using the inverse sine function:

α = arcsin(9/15) ≈ 36.87°

We note this angle is less than 50° so we expect the clay will not pour out easily.