Question

Helppp pleaseeee xxxxx

Answer 1

Answer:

$h = 3\sqrt{3}$

$c = 4\sqrt{2}$

Step-by-step explanation:

✔️Finding h using trigonometric ratio:

Reference angle = 60°

Opposite = h

Adjacent = 3

Thus:

$tan(60) = \frac{h}{3}$

$\sqrt{3} = \frac{h}{3}$ (tan 60 = √3)

Multiply both sides by 3

$3\sqrt{3} = h$

$h = 3\sqrt{3}$

✔️Finding c using trigonometric ratio:

Reference angle = 45°

Hypotenuse = 8

Adjacent = c

Thus:

$cos(45) = \frac{c}{8}$

$\frac{\sqrt{2}}{2} = \frac{c}{8}$ (cos 45 = √2/2)

Multiply both sides by 8

$\frac{\sqrt{2}}{2} \times 8 = c$

$\sqrt{2} \times 4 = c$

$c = 4\sqrt{2}$