Question

Find m∠ J

Use a calculator. Enter only a number

Answer 1

26 degrees.

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.

`\tan(x) = (opp)/(adj)`

`\tan(x) = (46)/(93)`

since we are trying to find the angle measure apply inverse trig function

`\tan {}^( - 1) ( (opp)/(adj) )`

Plug 46 for opp and 93 for adj.

`\tan {}^( - 1) ( (46)/(93) )`

which is about 26 degrees.