contestada

Rashaad leans a 16-foot ladder against a wall so that it forms an angle of 73° with the
ground. How high up the wall does the ladder reach? Round your answer to the
nearest hundredth of a foot if necessary.

Respuesta :

Fernando1235555

Answer:

15.30 feet

Step-by-step explanation:

The ladder creates a right triangle with the wall and the ground. Because sine is the opposite divided the hypotenuse:

[tex]sin(73^{o}) = \frac{x}{16}[/tex] where x is the wall height that the ladder reaches.

Multiply both sides by 16 we get:

[tex]x = 16{sin(73^{o})}[/tex]

Using the calculator, we can get 15.30

shubhamchouhanvrVT

The height up to which does the ladder reach will be equal to 15.30 feet

What is trigonometry?

The branch of mathematics dealing with the relations of the sides and angles of triangles and with the relevant functions of any angles.

The ladder creates a right triangle with the wall and the ground. Because sine is the opposite divided the hypotenuse:

[tex]\rm Sin 73=\dfrac{x}{16}[/tex]

where x is the wall height that the ladder reaches.

Multiply both sides by 16 we get:

[tex]x=16 Sin 73=15.30[/tex]

Using the calculator, we can get 15.30

To know more about Trigonometry follow

https://brainly.com/question/24349828