Answer:

Explanation:
Please find the attachment.
We have been given that ABC is a right triangle with sides of lengths a, b, and c and right angle at C.
To find the side length a, we will Pythagoras theorem, which states that the sum of squares of two legs of a right triangle is equal to the square of the hypotenuse of right triangle.
Upon substituting our given values in Pythagoras theorem, we will get:
Take square root of both sides:
Therefore, the length of side 'a' is
units.
We know that tangent relates opposite side of a right triangle with adjacent side.

We can see that 'a' is opposite side of angle A and 'b' is adjacent side.


Therefore, the value of tan(A) is
.