Answer:
[tex]\dfrac{15}{17}[/tex]
This is the last option in the answer choices
Step-by-step explanation:
The formula for finding the cosine of an angle in a right triangle is given by
cos θ = adjacent side ÷ hypotenuse
The adjacent side is the side adjacent to the angle
Looking at the figure we see that the side adjacent to ∠A is AB of length 30
The hypotenuse has length 34
So
cos A = 30/34
This reduces to 15/17 by dividing numerator and denominator by 2
Answer: 4th(last) option 15/17
