contestada

Shane is standing at the base of a truck-mounted stairway to board an aircraft. The stairway begins at the ground. The length of the stairway is
18 feet, and the elevation of the top of the stairway from the ground is 13 feet.
680
OA. 54.16
OB. 35.84
OC 46.24
OD. 43.76
13 feet
What is the approximate angle made by the stairway with the ground?
30
18 feet

Respuesta :

Using relations in a right triangle, it is found that the approximate angle made by the stairway with the ground is given by:

D. 43.76.

What are the relations in a right triangle?

The relations in a right triangle are given as follows:

  • The sine of an angle is given by the length of the opposite side to the angle divided by the length of the hypotenuse.
  • The cosine of an angle is given by the length of the adjacent side to the angle divided by the length of the hypotenuse.
  • The tangent of an angle is given by the length of the opposite side to the angle divided by the length of the adjacent side to the angle.

This situation can be modeled by a right triangle described as follows:

  • The opposite side to the angle has a length of 13 feet.
  • The hypotenuse has a length of 18 feet.

Hence the angle is found as follows:

[tex]\cos{\theta} = \frac{13}{18}[/tex]

[tex]\theta = \arccos{\left(\frac{13}{18}\right)}[/tex]

[tex]\theta = 43.76^\circ[/tex]

Hence option D is correct.

More can be learned about relations in a right triangle at https://brainly.com/question/26396675
#SPJ1

ACCESS MORE
ACCESS MORE
ACCESS MORE
ACCESS MORE

Otras preguntas