Which angle has a tangent valur of 7/24

16.26°

Step-by-step explanation:

Here in this question, we are asked to find the angle whose tangent values 7/24.

Let us assume that, tan α = 7/24, ⇒ α = tan⁻¹ (7/24)

Using the scientific calculator the value of tan⁻¹ (7/24) can be calculated easily and α = 16.26°.

Note: If we assume a right-angled triangle having perpendicular 7 units long and base 24 units, then the hypotenuse automatically becomes √ (7²+24²) = 25 units. In that case, the angle between the hypotenuse and the base of the triangle will be 16.26°.