Answer:
see explanation
Step-by-step explanation:
Using the tangent ratio in the lower right triangle.
tan25° = [tex]\frac{opposite}{adjacent}[/tex] = [tex]\frac{h_{1} }{300}[/tex] ( multiply both sides by 300 )
300 × tan25° = h₁ , then
h₁ ≈ 140 m ( to the nearest metre )
Using the tangent ratio in the outer right triangle
tan60° = [tex]\frac{opposite}{adjacent}[/tex] = [tex]\frac{h_{1}+h_{2} }{300}[/tex] ( multiply both sides by 300 )
300 × tan60° = h₁ + h₂ ≈ 520 m ( to the nearest metre )
Thus
h₁ + h₂ = 520
140 + h₂ = 520 ( subtract 140 from both sides )
h₂ = 380 m
In conclusion
h₁ = 140 m and h₂ = 380 m
