A 90-foot escalator rises a vertical distance of 45 feet, as shown in the diagram below.


What is the measure of the angle identified with a question mark in the diagram?

30°
45°
60°
90°

Respuesta :

Answer:  30

Step-by-step explanation:

The correct answer is 30

Answer:

You haven't provided a diagram, so I will calculate both acute angles and add an image to show where they are.

Angle the escalator makes with the floor

[tex]\implies sin(\theta)=\dfrac{45}{90}=\dfrac12[/tex]

[tex]\implies \theta=30 \textdegree[/tex]

Angle the escalator makes with the wall (vertical)

[tex]\implies cos(\theta)=\dfrac{45}{90}=\dfrac12[/tex]

[tex]\implies \theta=60 \textdegree[/tex]

Ver imagen semsee45