Question

ABC is a right triangle, where the measure of C is 90 degrees, the measure of A is 49 degrees, and BC is 5.1 feet. Find the length of AB to the nearest tenth of a foot.

(A) 5.1 feet
(B) 6.3 feet
(C) 7.5 feet
(D) 8.7 feet

Answer 1

The length of side AB in a right triangle can be found using the Pythagorean theorem and trigonometric functions.

Step-by-step explanation:

In a right triangle, the length of the hypotenuse can be found using the Pythagorean theorem, which states that the square of the hypotenuse is equal to the sum of the squares of the other two sides. In this case, the length of side BC is given as 5.1 feet and the angle A is 49 degrees.

Using the trigonometric functions, we can find the length of side AB as follows:

AB = BC * cos(A)

AB = 5.1 * cos(49)

AB ≈ 5.1 * 0.6470

AB ≈ 3.2997