Math  /  Geometry

QuestionLight Design. Determine the angle θ\theta in the design of the streetlight shown in the figure.
Angle θ\theta
The top angle
The bottom angle 20.7 127.2 32.1

Studdy Solution

STEP 1

What is this asking? We need to find the angle θ\theta of a streetlight, given some other angles in its design. Watch out! Don't mix up the different angles!
Make sure you're looking at the right part of the streetlight.

STEP 2

1. Match angles to values
2. Find θ\theta

STEP 3

Looking at the streetlight diagram, we can see that the "top angle" is the smallest, the "bottom angle" is the largest, and "Angle θ\theta" is somewhere in between.

STEP 4

We're given three values: **20.7**, **127.2**, and **32.1**.
Since **20.7** is the smallest, it must be the "top angle." The largest value, **127.2**, has to be the "bottom angle." That leaves **32.1** for "Angle θ\theta." Boom!

STEP 5

Wait a second... we already found θ\theta!
From matching the values to the angles, we found that "Angle θ\theta" is **32.1** degrees.
We're done!
That was easier than we thought.

STEP 6

The angle θ\theta is **32.1** degrees.

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