A20-ft ladder leans against a building so that - id202972483, loravillanueva87

Ответ:

harvzoie

05.01.2022

19.02 ft.

Step-by-step explanation:

Please find the attachment.

We have been given that a 20-ft ladder leans against a building so that the angle between the ground and the ladder is 72 degrees.

We can see from our attachment that ladder forms a right triangle with building and ground.

The side of 20 ft is hypotenuse and side h is the opposite side to angle 72 degree.

$\text{sin}=\frac{\text{Opposite}}{\text{Hypotenuse}}$

$\text{sin}(72^{\circ})=\frac{h}{20}$

Switch sides:

$\frac{h}{20}=\text{sin}(72^{\circ})$

$\frac{h}{20}*20=\text{sin}(72^{\circ})*20$

h=0.951056516295*20

h=19.021130

$h\approx 19.02$

Therefore, the ladder would reach 19.02 feet high on the building.

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