OpenStudy (hang254):

Solve for x. Round your answer to 2 decimal places.

3 years ago
OpenStudy (hang254):
3 years ago

OpenStudy (anonymous):

remember that all triangles add up to 180 degrees

3 years ago
OpenStudy (anonymous):

In this right triangle, for the angle measuring 51 degree, the side having length 12 is the base and the other side 'x' is the hypotenuse. Which trigonometric ratio out of sin, cos or tan is the ratio of the base and the hypotenuse?

3 years ago
OpenStudy (lncognlto):

I would use the sine rule to solve this...

3 years ago
OpenStudy (hang254):

would i use SOH ?

3 years ago
OpenStudy (anonymous):

You can use sin but not with the angle measuring 51 degrees. This is because sin is the ratio of opposite and hypotenuse (SOH) while we have the base and the hypotenuse, not the opposite and the hypotenuse. CAH is a better option

3 years ago
OpenStudy (hang254):

so it would be: cos(51)=12/x

3 years ago
OpenStudy (anonymous):

Good! That is correct

3 years ago
OpenStudy (anonymous):

Now use the calculator to find x correct to two decimal places

3 years ago
OpenStudy (hang254):

7.55?

3 years ago
OpenStudy (anonymous):

Nope. How did you get that?

3 years ago
OpenStudy (hang254):

cos51 times 12

3 years ago
OpenStudy (hang254):

i thought thats right

3 years ago
OpenStudy (hang254):

@ganeshie8 @thomaster

3 years ago
OpenStudy (anonymous):

You have to divide 12 by cos(51 degrees). Do cross multiplication in this equation cos(51) = 12/x then you get x = 12/cos(51)

3 years ago
OpenStudy (hang254):

oh, ok so it is 19.068

3 years ago
OpenStudy (hang254):

thanks for your help

3 years ago