Question

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

Answer 1

remember that all triangles add up to 180 degrees

Answer 2

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?

Answer 3

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

Answer 4

would i use SOH ?

Answer 5

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

Answer 6

so it would be:

cos(51)=12/x

Answer 7

Good! That is correct

Answer 8

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

Answer 9

7.55?

Answer 10

Nope. How did you get that?

Answer 11

cos51 times 12

Answer 12

i thought thats right

Answer 13

@ganeshie8 @thomaster

Answer 14

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)

Answer 15

oh, ok so it is 19.068

Answer 16

thanks for your help