Transcript text: Find the angle measure of $\theta$.
Solution
Solution Steps
Step 1: Identify the sides of the right triangle
In the given right triangle, we have:
Opposite side to angle θ: 12 (side BC)
Adjacent side to angle θ: 7 (side AB)
Step 2: Use the tangent function
The tangent of an angle in a right triangle is the ratio of the opposite side to the adjacent side. Therefore, we can write:
tan(θ)=adjacentopposite=712
Step 3: Calculate the angle using the arctangent function
To find the angle θ, we take the arctangent (inverse tangent) of 712:
θ=tan−1(712)