Question

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Answer 1

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,

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

Substituting we get

$\tan 72= \frac{WB}{YB}=\frac{1612}{BY}$

$\therefore BY=\frac{1612}{3.077}=523.88=524\ ft...(approximate)$

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

$\tan 49= \frac{WB}{XB}=\frac{1612}{XB}$

$\therefore XB=\frac{1612}{1.15}=1401.73=1402\ ft...(approximate)$

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.