Question

level 3: find the missing side on the triangles below, and state the 3 trig ratios. remember \\(a^2 + o^2 = h^2\\)

Explanation:

Solve for the first triangle (left)

$$
LATEXBLOCK0
$$

Solve for the second triangle (middle)

$$
LATEXBLOCK1
$$

Solve for the third triangle (right)

$$
LATEXBLOCK2
$$

Answer:

Question 1

• Missing side (Hypotenuse): \(H = \sqrt{505}\)
• \(\sin\theta = \frac{12\sqrt{505}}{505}\)
• \(\cos\theta = \frac{19\sqrt{505}}{505}\)
• \(\tan\theta = \frac{12}{19}\)

Question 2

• Missing side (Hypotenuse): \(H = 2\sqrt{17}\)
• \(\sin\theta = \frac{4\sqrt{17}}{17}\)
• \(\cos\theta = \frac{\sqrt{17}}{17}\)
• \(\tan\theta = 4\)

Question 3

• Missing side (Opposite): \(O = 8\)
• \(\sin\alpha = \frac{8}{17}\)
• \(\cos\alpha = \frac{15}{17}\)
• \(\tan\alpha = \frac{8}{15}\)