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How do i do this, i need to find an answer fast

How do i do this, i need to find an answer fast-example-1
User PseudoDust
by
7.9k points

1 Answer

5 votes

Answer:

y = 5√3

x = 10√3

Explanation:

From the given sides

Adjacent = 15

Opposite = y

Hypotenuse = x

Angle of depression = 30degree

Using the SOH CAH TOA identity

tan theta = opp/adj

tan 30 = y/15

y = 15tan30

y = 15(1/√3)

y = 15√3/3

y = 5√3

Similarly

cos theta = adj/hyp

cos 30 = 15/x

x = 15/cos30

x = 15 /√3/2

x = 30/√3

x = 30√3/3

x = 10√3

User Yoonghm
by
6.4k points