Question

question 1 of 10 what is the approximate value of x in the diagram below? (hint: you will need to use one of the trigonometric ratios given in the table.) sin 36° ≈ 0.588 cos 36° ≈ 0.809 tan 36° ≈ 0.727 a. 18.61 b. 39.12 c. 28.43 d. 31.64 e. 13.52 f. 16.72

Explanation:

Step1: Identify sides relative to 36°

In right triangle, 23 is adjacent to 36°, x is opposite 36°.

Step2: Apply tan(36°) = opposite/adjacent

$\tan 36^\circ = \frac{x}{23}$

Step3: Solve for x

$x = 23 \times \tan 36^\circ$

Step4: Substitute tan 36° ≈ 0.727

$x ≈ 23 \times 0.727 ≈ 16.72$

Answer:

F. 16.72