Question

question 16 of 26
in the triangle below, what is the tangent of 45°?
image of a right triangle with legs of length 1, hypotenuse of length √2, and two 45° angles
a. (\frac{1}{sqrt{2}})
b. (sqrt{2})
c. (\frac{1}{2})
d. 1

Explanation:

Step1: Recall tangent definition

Tangent of an angle in a right triangle is $\frac{\text{opposite}}{\text{adjacent}}$.

Step2: Identify sides for 45°

For 45° angle, opposite side = 1, adjacent side = 1.

Step3: Calculate tangent

$\tan(45^\circ)=\frac{1}{1}=1$.

Answer:

D. 1