Question

Solve for x use the trig to find angle

Answer 1

`\displaystyle 36,9`

Explanation:

`\displaystyle 1(1)/(3) = cot\:x \hookrightarrow cot^(-1)\:1(1)/(3) = x \hookrightarrow 36,869897646...° = x \\ \\ 36,9° ≈ x`

OR

`\displaystyle (3)/(4) = tan\:x \hookrightarrow tan^(-1)\:(3)/(4) = x \hookrightarrow 36,869897646...° = x \\ \\ 36,9° ≈ x`

Information on trigonometric ratios

`\displaystyle (OPPOCITE)/(HYPOTENUSE) = sin\:θ \\ (ADJACENT)/(HYPOTENUSE) = cos\:θ \\ (OPPOCITE)/(ADJACENT) = tan\:θ \\ (HYPOTENUSE)/(ADJACENT) = sec\:θ \\ (HYPOTENUSE)/(OPPOCITE) = csc\:θ \\ (ADJACENT)/(OPPOCITE) = cot\:θ`

I am joyous to assist you at any time.

Answer 2

`\qquad\qquad\huge\underline{{\sf Answer}}☂`

Let's solve, using Trigonometry ~

`\qquad \sf  \dashrightarrow \: \tan(x) = (54)/(72)`

`\qquad \sf  \dashrightarrow \: \tan(x) = (3)/(4)`

`\qquad \sf  \dashrightarrow \:x = \tan { }^( - 1) ( (3)/(4) )`

`\qquad \sf  \dashrightarrow \:x = 37 \degree`