The figure presumably shows the height of the ramp is 14 and 68 is the angle the ramp makes with the ground.

That makes 14/x = sin 68.

You go from here.

Billie M.

asked • 11/19/20**The picture below shows a box sliding down a ramp:**

A right triangle ABC has measure of angle ABC equal to 90 degrees and measure of angle ACB equal to 68 degrees. The length of AB is 14 feet.

What is the distance, in feet, that the box has to travel to move from point A to point C?

A. 14 sin 68°

B. 14 cosec 68°

C. 14 divided by sec 68 degrees

D. 14 divided by cot 68 degrees

At first I thought it was A, but I really don't know. Please help me as soon as possible and explain to me why it is the right answer. Thank you!

More

The figure presumably shows the height of the ramp is 14 and 68 is the angle the ramp makes with the ground.

That makes 14/x = sin 68.

You go from here.

b=90°

c=68°

ab=14'

Correct labeling:

α=?

β=68°

γ=90°

a=?

b=14

c=?

180-90-68=22=α

a/sinα=b/sinβ=c/sinγ

a/sinα=14/sin68=c; (sin90=1)

" =15.09=c

a/sin22= "

a=5.656

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Billie M.

Yes, the figure does show that, sorry, I could not get it to upload. And does that mean the answer is 14 sin 68°? Sorry for the confusion, I just don't understand the "how" or "why" it isn't any of the other answers, if that makes sense.11/19/20