What is the distance between the 2 trees? See image for details

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Answer 1 · 2018-04-05T09:20:55

$47.7 8 ft$ $color(blue)(47.7color(white)(8)"ft")$

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We need to find the distance from $T_{1}$ $T_1$ to $T_{2}$ $T_2$

We are given:

$β = {25.2}^{\circ}$ $beta=25.2^@$

Using the tangent ratio:

$tan (β) = \frac{opposite}{adjacent} = \frac{T_{1} T_{2}}{100}$ $tan(beta)="opposite"/"adjacent"=(T_1T_2)/100$

Rearranging:

$(T_{1} T_{2}) = 100 tan ({25.5}^{\circ}) = 47.7 8 ft$ $(T_1T_2)=100tan(25.5^@)=47.7color(white)(8)"ft"$ (1 .d.p.)