Question

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Answer 1

Therefore,

Distance between XY is 878 ft and YB is 524 ft.

Explanation:

Given:

BW = 1612 ft

∠ Y = 72°

∠ X = 49°

To Find:

XY = ?

YB = ?

Solution:

In right angle Triangle Δ WBY Tangent identity,

`\tan Y= \frac{\textrm{side opposite to angle Y}}{\textrm{side adjacent to angle Y}}`

Substituting we get

`\tan 72= (WB)/(YB)=(1612)/(BY)`

`\therefore BY=(1612)/(3.077)=523.88=524\ ft...(approximate)`

Similarly,

In right angle Triangle Δ WBX Tangent identity,

`\tan X= \frac{\textrm{side opposite to angle X}}{\textrm{side adjacent to angle X}}`

Substituting we get

`\tan 49= (WB)/(XB)=(1612)/(XB)`

`\therefore XB=(1612)/(1.15)=1401.73=1402\ ft...(approximate)`

Now For

`XB = XY +BY`.............Addition Property

Substituting we get

`1402 = XY +524\\\\\therefore XY=1402-524=878\ ft`

Therefore

Distance between XY is 878 ft and YB is 524 ft.