Question

A toy designer has created a new tow truck. He has attached a 4.2 in. arm to the truck bed at an angle of 32°. He now needs to design a second arm that hangs down from the top of the first arm to the bed of the truck at a 90° angle. How long should that arm and hook be so that it exactly touches the truck bed? Round your answer to the nearest tenth, if necessary.

http://diagnostic.achievementseries.com/cdn//1/_graphics_math_18294/db1ab07d-ea4f-4b21-a21f-80e0912cca1e.gif




A. 3.6 in. B. 7.9 in.
C. 5.0 in. D. 2.2 in.

Answer 1

@Megan30400 @teresar7 @TheRaggedyDoctor @thomaster @TheAsker2002 @uri @One098 @iGreen @CallMeKiki @DarkMoonZ @k_lynn

Answer 2

plz help guys

Answer 3

im trying it right now

Answer 4

ok thanx

Answer 5

Which one do you think it is? :)

Answer 6

its d

Answer 7

yeah its D

Answer 8

Explain why you think it's D. :)

Answer 9

you are going to take the 4.2" arm as the hypotenuse of a right triangle with theta = 32 degrees.

using the formula sin theta = opposite/hypotenuse we can get the length (which is the opposite length).

so we solve for opposite and we get:

opposite = sin theta * hypotenuse , which is
opposite = sin 32 degree * 4.2"
opposite = .53 * 4.2" = 2.226" rounded to nearest tenth =
2.2 "
so your answer is d 2.2 in

Answer 10

lol its easy. just do 4.2xSINx32

Answer 11

:D

Answer 12

lol

Answer 13

ok thanx can u help with more plzz

Answer 14

sure, just make a different question, and we can help

Answer 15

thanx guys

Answer 16

:P