Question

SOMEONE PLEASE HELP ME!!
The picture shows a triangular island:

A right triangle is shown with an acute angle equal to 55 degrees. The length of the side of the triangle opposite to the acute angle is r. The length of the side of the triangle adjacent to the acute angle is s. The length of the hypotenuse is q.

Which expression shows the value of q?

ANSWERS

r cos 55°

r sin 55°

s over sin 55 degrees

s over cos 55 degrees

Answer 1

\[\sin(55)=\frac{r}{q}\]

Answer 2

also
\[\cos(55)=\frac{s}{q}\]

Answer 3

we can solve either one of those for \(q\)

Answer 4

i don't really know how to solve these though

Answer 5

ok lets do the first one

Answer 6

\[\sin(55)=\frac{s}{q}\\
q\sin(55)=s\\
q=\frac{s}{\sin(55)}\]

Answer 7

ok how do i solve that though

Answer 8

i am not sure what you are asking

Answer 9

you don't have numbers for \(r,s, q\) just letters
your answer choices all have variables in them, you cannot get a number out of this

Answer 10

i don't know how to do these equations is what i'm trying to say

Answer 11

but you're saying the answer would be c?

Answer 12

oh
i got
\[\sin(55)=\frac{r}{q}\] using
"sine is opposite over hypotenuse"

Answer 13

ohh okay! i understand this

Answer 14

but no, the answer is not C

Answer 15

\[\cos(55)=\frac{s}{q}\iff q=\frac{s}{\cos(55)}\]

Answer 16

so you flip the equation?

Answer 17

sort of
depends on what you are solving for

Answer 18

\[3=\frac{12}{x}\iff x=\frac{12}{3}\]

Answer 19

i see

Answer 20

i would go with D in this case
don't get confused by the sine and cosine
you solve a proportion the way you always do

Answer 21

okay thank you!