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UNO [17]
3 years ago
9

PLZ HELP IM STRUGGLING!!

Mathematics
1 answer:
Cloud [144]3 years ago
3 0

Answer:

1/3

Step-by-step explanation:

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Answer:

Height of the cliff = 13.66 m

Step-by-step explanation:

Let the height of the cliff is 'x' m and distance between the base of the cliff and the boat is 'y' m.

From right triangle AOC,

tan 30° = \frac{\text{Opposite triangle}}{\text{Adjacent side}}

\frac{1}{\sqrt{3}}=\frac{x}{y}

y = x\sqrt{3} ------(1)

From right angle triangle BOC,

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x = y - 10

y = x + 10 -------(2)

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x=\frac{10}{\sqrt{3}-1 }

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Therefore, height of the cliff is 13.66 m.

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4 years ago
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