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AfilCa [17]
3 years ago
7

A safety regulation states that the maximum angle of elevation for a rescue ladder is 72°. A fire department's longest ladder is

110 feet. What is the maximum safe rescue height?

Mathematics
2 answers:
Bess [88]3 years ago
6 0

Answer:

104.6

Step-by-step explanation:

Julli [10]3 years ago
5 0

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,

\sin C=\frac{\text{Perpendicular}}{\text{Hypotenuse}}

\sin 72^{\circ}=\frac{AB}{BC}

\sin 72^{\circ}=\frac{x}{110}

x=110 \times \sin 72^{\circ}

x=104.6

So, the maximum safe rescue height is   104.6 feet above the height of

the ground.

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