Answer:
see explanation
Step-by-step explanation:
Using the tangent ratio in the right triangle.
tan35° = [tex]\frac{opposite}{adjacent}[/tex] = [tex]\frac{opp}{100}[/tex] ( multiply both sides by 100 )
100 × tan35° = opp , that is
opp ≈ 100 × 0.7002 = 70.02
Thus height of tree = 70.02 + 5 = 75.02 ft
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Using the tangent ratio in the right triangle on the right.
tan40° = [tex]\frac{opposite}{adjacent}[/tex] = [tex]\frac{25.17}{rope}[/tex] ( multiply both sides by rope )
rope × tan40° = 25.17 ( divide both sides by tan40° )
rope = [tex]\frac{25.17}{tan40}[/tex] = [tex]\frac{25.17}{0.839}[/tex] = 30 ft
