Answer:
26 degrees.
Step-by-step explanation:
We are given
- Side KL length which is 46. (let call that side j).
- Side JL length which is 93( let call that side k).
- Angle L=90.
We are trying to find angle measure of j.
Since we are given a side opposite of our angle we are trying to find and a side adjacent to the angle we are trying to find we are going to use tan ratio.
[tex] \tan(x) = \frac{opp}{adj} [/tex]
[tex] \tan(x) = \frac{46}{93} [/tex]
since we are trying to find the angle measure apply inverse trig function
[tex] \tan {}^{ - 1} ( \frac{opp}{adj} ) [/tex]
Plug 46 for opp and 93 for adj.
[tex] \tan {}^{ - 1} ( \frac{46}{93} ) [/tex]
which is about 26 degrees.
