Question

Which expression is equal to the length of segment jl in meters

Answer 1

The expression equal to the length of segment JL in meters is 17 / tan 22°.

To find the length of segment JL, we can use trigonometric ratios in triangle JKL.

Since angle JKL is a right angle, we can use the sine or tangent ratio.

Let's use the tangent ratio.

Tangent of angle KLJ = KL / JL

tan 22° = 17 / JL

JL = 17 / tan 22°

So, the expression equal to the length of segment JL is 17 / tan 22°.

Answer 2

Given the right triangle JKL

The hypotenuse of the triangle is the side JL

The given side KL = 17 m and represents the adjacent to the given angle 22

so,

`\begin{gathered} \cos 22=(adjacent)/(hypotenuse) \\ \\ \cos 22=(KL)/(JL) \\ \\ \cos 22=(17)/(JL) \\ \\ JL=(17)/(\cos 22) \end{gathered}`

IT can be also calculated as following :

The other acute angle = 90 - 22 = 68

So, the opposite side of the angle 68 i