Answer:
The maximum safe rescue height is 104.6 feet above the height of the ground.
Step-by-step explanation:
Consider a triangle ABC where C is the point where the rescue ladder is standing and AB be the building and Ladder making an angle of 72° as shown.
We have to find the height of the building.
Let x be the height of building
Using Trigonometric ratio,
[tex]\sin C=\frac{\text{Perpendicular}}{\text{Hypotenuse}}[/tex]
[tex]\sin 72^{\circ}=\frac{AB}{BC}[/tex]
[tex]\sin 72^{\circ}=\frac{x}{110}[/tex]
[tex]x=110 \times \sin 72^{\circ}[/tex]
[tex]x=104.6[/tex]
So, the maximum safe rescue height is 104.6 feet above the height of
the ground.
