Question

according to this diagram, what is \\(\tan 62^\circ\\)?

a. \\(\frac{15}{8}\\)

b. \\(\frac{8}{15}\\)

c. \\(\frac{8}{17}\\)

d. \\(\frac{15}{17}\\)

e. \\(\frac{17}{8}\\)

f. \\(\frac{17}{15}\\)

Explanation:

Identify the reference angle

Using the Trigonometric Ratios knowledge point
The reference angle is \(62^\circ\).

Identify the sides of the right triangle

Using the Trigonometric Ratios knowledge point

• Opposite side to \(62^\circ\) is \(15\).
• Adjacent side to \(62^\circ\) is \(8\).
• Hypotenuse is \(17\).

Apply the tangent ratio formula

Using the Trigonometric Ratios knowledge point

$$ \tan(62^\circ) = \frac{\text{Opposite}}{\text{Adjacent}} = \frac{15}{8} $$

Answer:

• A. \(\frac{15}{8}\) (Correct answer)
• B. \(\frac{8}{15}\)
• C. \(\frac{8}{17}\)
• D. \(\frac{15}{17}\)
• E. \(\frac{17}{8}\)
• F. \(\frac{17}{15}\)