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ivolga24 [154]
3 years ago
7

Helppp pleaseeee xxxxx

Mathematics
1 answer:
Lady bird [3.3K]3 years ago
7 0

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}

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