Question

A 20-ft ladder leans against a building so that the angle between the ground and the ladder is 72 degrees. how high does the ladder reach on the build

Answer 1

Answer:

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.

Answer 2

Sin(72°)=x÷20ft.
sin(72°)×20ft.= 19ft 252 inches
the ladder reach 19ft 252 inches tall on the building.