Question

The body of a dump truck is raised to empty a load of dirt. How high is the 10-inch body from the frame when it is tipped up at 30 Degrees? Round to the nearest inch.
A. 5 inches
B. 7 inches
C. 9 inches
D. 11 inches

Answer 1

This is dealing with Special Right Triangles
Also this is my last question so take your time since I'm almost finished and have 50 minutes left in the test.

Answer 2

Here's a pic for reference

Answer 3

okaii so all you have to do is divide a number with another number that makes it to the 30 degrees then the second number you divided by is your answer

Answer 4

Ok. So which numbers do I use? I've been through the directions and everything ad I still don't really understand it

Answer 5

Which part of the truck is 10 inches?

Answer 6

The bucket

Answer 7

'10-inch body' could be referring to the hypotenuse or the horizontal leg. I would think it's the hypotenuse.

Answer 8

Oh, ok, so you have the triangle
and you want to find the missing side.

You have the trig relation
\[\sin30^\circ=\frac{10}{x}\]
Solve for \(x\).

Answer 9

So it's Sin 30 times 10?

Answer 10

Not quite, you would multiply both sides by \(x\):
\[x\sin30^\circ=\frac{10}{x}\cdot x\\
x\sin30^\circ=10\]

Answer 11

Ok, gimme a sec

Answer 12

Ok, so I got 5 for my answer, is that right?

Answer 13

\[x=\frac{10}{\sin30^\circ}=\frac{10}{\frac{1}{2}}\not=5\]

Answer 14

SO IT'S RIGHT :D

Answer 15

No, it's not. Recheck your work.

Answer 16

Oh

Answer 17

\[\frac{10\cdot2}{\frac{1}{2}\cdot2}=\cdots\]

Answer 18

10?

Answer 19

What's 10 times 2? What's 1/2 times 2?

Answer 20

20 and 1

Answer 21

Right, so
\[\frac{10\cdot2}{\frac{1}{2}\cdot2}=\frac{20}{1}=20\]

Answer 22

Ok, so what's the next step?

Answer 23

Wait a second... I had the wrong equation at the start. It should have been
\[\sin30^\circ=\frac{x}{10}\]
Sorry about that... Your answer of 5 was correct.

Answer 24

YAY!!!
And it's ok XD Thanks for the help

Answer 25

yw