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URGENT 15 POINTS in the following diagram
what is the value of y and the value of z?

URGENT 15 POINTS in the following diagram what is the value of y and the value of-example-1

1 Answer

5 votes

Answer:

see explanation

Explanation:

Using the sine ratio in right Δ ACD and the exact value

sin30° =
(1)/(2)

sin30° =
(opposite)/(hypotenuse) =
(AD)/(AC) =
(y)/(150) =
(1)/(2) ( cross- multiply )

2y = 150 ( divide both sides by 2 )

y = 75

----------------------------------------------------------------------

Using the tangent ration in right Δ ABD and the exact value

tan60° =
√(3)

tan60° =
(opposite)/(adjacent) =
(AD)/(BD) =
(y)/(z) =
(75)/(z) =
√(3) ( cross- multiply )


√(3) z = 75 ( divide both sides by
√(3) )

z =
(75)/(√(3) ) ×
(√(3) )/(√(3) ) =
(75√(3) )/(3) = 25
√(3)

User Ashwani Singh
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