Answer:
Therefore,
Distance between XY is 878 ft and YB is 524 ft.
Step-by-step explanation:
Given:
BW = 1612 ft
∠ Y = 72°
∠ X = 49°
To Find:
XY = ?
YB = ?
Solution:
In right angle Triangle Δ WBY Tangent identity,
[tex]\tan Y= \frac{\textrm{side opposite to angle Y}}{\textrm{side adjacent to angle Y}}[/tex]
Substituting we get
[tex]\tan 72= \frac{WB}{YB}=\frac{1612}{BY}[/tex]
[tex]\therefore BY=\frac{1612}{3.077}=523.88=524\ ft...(approximate)[/tex]
Similarly,
In right angle Triangle Δ WBX Tangent identity,
[tex]\tan X= \frac{\textrm{side opposite to angle X}}{\textrm{side adjacent to angle X}}[/tex]
Substituting we get
[tex]\tan 49= \frac{WB}{XB}=\frac{1612}{XB}[/tex]
[tex]\therefore XB=\frac{1612}{1.15}=1401.73=1402\ ft...(approximate)[/tex]
Now For
[tex]XB = XY +BY[/tex].............Addition Property
Substituting we get
[tex]1402 = XY +524\\\\\therefore XY=1402-524=878\ ft[/tex]
Therefore
Distance between XY is 878 ft and YB is 524 ft.
