Question

Solve for x. Round your answer to two decimal places. Show your work for full credit.
A right triangle is shown with the hypotenuse labeled x. One angle has a measure of thirty nine degrees, and the opposite leg has a length of nine.

Answer 1

SOLVE for x

Answer 2

use the definiton of :
sin(39) = 9/x
solve for x

and the calculator

Answer 3

* definition

Answer 4

I did that, and my teacher marked me off, and said I have incorrectly solved for x. is there another alternate way?

Answer 5

i think only by using trigono be solved

Answer 6

thank you for your help I will try that

Answer 7

ok... so this is a trigonometry question

where

\[\sin(39) = \frac{9}{x}\]

so

\[x = \frac{9}{\sin(39)}\]

perhaps you needed the step above beofre calculating

Answer 8

so it would be 9/sin39 not sin(39)/9....?

Answer 9

thats correct...

sin = opposite/hypotenuse

to show you

\[\sin(39) = \frac{9}{x}\]

multiply both sides by x

x sin(39) = 9

divide both sides by sin(39)

\[x = \frac{9}{\sin(39)}\]

Answer 10

That makes much more sense.....I see what you did!
but I keep getting a strange decimal....

Answer 11

well you are finding the hypotenuse, so the answer needs to larger than the given side of 9.

what answer do you have..?

Answer 12

I got 0.629
which I know is wrong

Answer 13

ok... so have a look at you calculator screen... has got a D in the top of the display.... meaning you're working in degrees...

Answer 14

I am in degrees right now.

Answer 15

so you have entered

\[9 \div \sin(39) =\]

Answer 16

yes and it gave me a run on decimal.

Answer 17

wait wait... i just did it and it gave me 14.30114156
I think that is it!!!

Answer 18

thats it

Answer 19

YAAAAY! thank you so much! I am so grateful! you are awesome