Question

PLEASE HELP!!!!!Using the following image, solve for the trigonometry ratios of ∠D and ∠F.

Answer 1

Answer:

Here we have a triangle rectangle, where the length of one of the cathetus is: 15 (the one at the top)

And the length of the other cathetus is 8 units (i think, i can not see well the image)

Now, if we want to find the angle D.

In this case, the adjacent cathetus is the one of 15 units, and the opposite cathetus is the one of 8 units.

Then we can use the relation:

Tg(A) = (opposite cathetus)/(adjacent cathetus)

So:

Tg(D) = 8/15

D = ATg(8/15) = 28.1°

Now, for the angle F, the adjacent cathetus is the one of 8 units, and the opposite cathetus is the one of 15 units:

F = ATg(15/8) = 61.9°

Answer 2

Answer:

x= 17

Next, find the trigonometry ratios of ∠D.

sin∠D= 8/17

 

cos∠D= 15/17

 

tan∠D= 8/15

Finally, find the trigonometry ratios of ∠F.

sin∠F=15/17

 

cos∠F= 8/17

 

tan∠F=15/8