In △jkl, solve for x. triangle jkl where angle k is a right angle. kl measures 34. jk measures x. angle j measures 27 degrees. 17.32 38.16 66.73 74.89 my answer choice is 74.89 just need to be sure.

Option (c) is correct

x = 66.73

Step-by-step explanation:

 Given: In Δ JKL,  where

angle K is a right angle. that is ∠K = 90°

KL measures 34 that is KL = 34

JK measures x.

Angle J measures 27 degrees that is ∠J = 27°

We have solve for x.

Make a triangle with the given description (as shown below)

Since, we have to solve for x,

Using trigonometric ratio,

Since, we know tangent is the ratio of perpendicular to base

Using  

Here, for we have base = x and perpendicular = 34

Thus,  

Solving for x, we have,

We have x = 66.73

Option (c) is correct

Thus, x = 66.73

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