If tan θ = 3/4 for some angle θ where (0° < θ < 90°), then what is the value of sin θ?

Correct option is C

Given:

tan θ = 3/4

Formula Used:
· tan θ = opposite / adjacent
· sin θ = opposite / hypotenuse
· Use Pythagoras Theorem to find hypotenuse:

hypotenuse² = opposite² + adjacent²

Solution:

Let the opposite side = 3 and adjacent side = 4 (from tan θ = 3/4) Then,

hypotenuse = √(3² + 4²) = √(9 + 16) = √25 = 5
Now, sin θ = opposite / hypotenuse = 3 / 5

Final Answer: (c) 3/5