Help with this I don't know how to solve please and thank you !!!

tan∅ = 3√29/10

Step-by-step explanation:

Pythagorean Theorem: a² + b² = c²

cos∅ = adjacent/hypotenuse

Since we are given cos∅ = 10/19, we know that one leg is 10 and the hypotenuse is 19. We need to find the missing leg length:

10² + b² = 19²

b² = 19² - 10²

b = √261

b = 3√29

We know that tan∅ equals opposite over adjacent. Our adjacent is given to us by cos∅, so we simply plug in our values:

tan∅ = opposite/adjacent

tan∅ = 3√29/10

d. 8

step-by-step explanation:

the given radical expression is:

we can rewrite this as:

we express as square numbers to get;

the exponents will now cancel out to give.

the correct answer is d

the correct answers i think are b. and d.

give me brainliest if it is correct!