Look at the figure: an image of a right triangle is shown with an angle labeled x. if tan x° = e divided by 8 and sin x° = e divided by f, what is the value of cos x°?

cos x = 8/f.

Step-by-step explanation:

We can use the identity :

tan x = sin x / cos x.

Substituting:

e/8 = e/f / cos x

e/8 * cos x = e/f

cos x = e/f * 8/e

cos x = 8e / fe

cos x = 8/f.

8/f

Step-by-step explanation:

o/a = t

o/h = s

a/h = c

or

step-by-step explanation:

we need to solve for 'x' the following equation:  

we have that:

⇒

⇒ ⇒

factorizing, we get that:

  ⇒

then, the solutions are: or

nothing extraneous has been found!

answer:   28.56 feet (approx)

step-by-step explanation:

since, triangle abc has measure of angle c equal to 55 degrees, measure of angle abc equal to 90 degrees, and length of bc equal to 20 feet.

we have to find out the measurement of segment ab.

therefore, tan 55° =

but bc = 20 feet.

⇒ tan 55 ° =  

⇒ ab = 20 × tan 55 °

⇒ ab = 20 × 1.42814800674

⇒ ab = 28.5629601348   ≈ 28.56 feet