In a right-angle triangle, the hypotenuse is 5 cm and the base is 3 cm. If one angle is , then tan is equal to:
Show answer & explanation
Correct answer: A
Explanation
The correct answer is option 1 i.e. .
Given that
In a right-angle triangle, the hypotenuse is 5 cm and the base is 3 cm
As we know In any right-angle triangle
Height2 = hypotenuse2 - base2
Calculation
⇒ Height2 = 52 - 32 = 25 - 9 = 16
⇒ Height = 4 cm
Hence, the value of tan = Height/Base = 4/3