Question

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 62 degrees. The length of AB is 10 feet.

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

Answer 1

https://questioncove.com/updates/579f8641e4b0a26917e5d83c

Answer 2

you will find your answer there-

Answer 3

\(\color{#0cbb34}{\text{Originally Posted by}}\) @elpapitocay
https://questioncove.com/updates/579f8641e4b0a26917e5d83c
\(\color{#0cbb34}{\text{End of Quote}}\)
This is when the angle measure is 70 though

Answer 4

so would it be 10cosec62 then??

Answer 5

?

Answer 6

You never placed an image.

Answer 7

Here's the image

Answer 8

We want to find the hypotenuse AC.

\(\sin 62^o = \Large\frac{\text{opposite}}{\text{hypotenuse}} = \Large\frac{10}{{AC}}\)

\(\overline{AC} = \Large\frac{10}{\sin 62^o}\)

And if you know that csc or cosecant(x) is 1/sin(x) then we get

\(\overline{AC} = 10\csc 62^o\)

Answer 9

\(\color{#0cbb34}{\text{Originally Posted by}}\) @Guccicrocs2019
so would it be 10cosec62 then??
\(\color{#0cbb34}{\text{End of Quote}}\)

So, yes! You are correct!