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Please help ٩(๑òωó๑)۶​

Please help ٩(๑òωó๑)۶​-example-1
User Stigi
by
8.2k points

1 Answer

3 votes

Answer:

Height of the cliff = 13.66 m

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}}


(1)/(√(3))=(x)/(y)

y =
x√(3) ------(1)

From right angle triangle BOC,

tan 45° =
(x)/(y-10)


1=(x)/(y-10)

x = y - 10

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

From equations (1) and (2),


x√(3)=x+10


x(√(3)-1)=10


x=(10)/(√(3)-1 )

x = 13.66 m

Therefore, height of the cliff is 13.66 m.

User Llamerr
by
7.9k points

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