Question

What is the value of cos H?

Answer 1

Cos H = adjacent side/hypotenuse

Answer 2

Which of the three sides of this triangle is "adjacent" to Angle H?
Which of the three sides is the "hypotenuse?"

Answer 3

the longest side

Answer 4

Yes, the hypotenuse is the longest side, and is side FH.
Again I ask you to identify which of the two remaining sides is the side "adjacent" to Angle H. Identify it by name and length.

Answer 5

The one with a 36 by it . HG?

Answer 6

HG is indeed the Adjacent side...And HF is again the hypotenuse....

HG has a length of 36
HF has a length of 85

So since \(\large cos(x) = \frac{\text{Adjacent}}{\text{Hypotenuse}}\) we will just have

\[\large \cos(H) = \frac{HG}{HF} = \frac{36}{85}\]

so \[\large \cos(H) = \frac{36}{85}\]

Answer 7

And since the question states "round the answer to 4 decimal places" we will need to evaluate that fraction...

so what is \(\huge \frac{36}{85} = \space ?\)

Answer 8

.4235

Answer 9

Correct! @katrinamarie0803

Answer 10

thank you :)

Answer 11

I'd suggest that you (katrinamarie) make up a review sheet with definitions of the six trig functions. Notice how I asked you to identify the "hypotenuse" and the "adjacent side" (or "the side adjacent to so and so angle?" The third side would be the "opposite side".

Answer 12

Notice how johnweldon1993 typed out the definition of the cosine as
adj side
cos x = --------------
hyp

Can you similarly define the other 5 trig functions?