Question

timed problem score: 4/10 current time: 26:11 find: cos a right triangle with right angle, one leg 10, one leg 24, hypotenuse 26, angle a at the vertex of leg 24 the figure is not drawn to scale answer options: 24/26, 10/26, 10/24, 24/10

Explanation:

Step1: Recall cosine definition

In a right triangle, $\cos\theta = \frac{\text{adjacent side to } \theta}{\text{hypotenuse}}$.

Step2: Identify sides for $\angle A$

For $\angle A$, adjacent side is $24$, hypotenuse is $26$.

Step3: Calculate $\cos A$

$\cos A = \frac{24}{26}$.

Answer:

$\frac{24}{26}$ (or simplified as $\frac{12}{13}$, but matching the options, it's $\frac{24}{26}$)