Question

Triangle ABC is a right angle with angle (a) being 55 degrees, angle (c) is 90 degrees, and line segment BC being 15. What is the length of AC?

A. AC = 15)
B. AC = 15sin(55^∘)
C. AC = 15cos(55^∘)
D. AC = 15tan(55^∘)

Answer 1

In a right triangle, the length of the hypotenuse (AC) can be found using the sine function.

Step-by-step explanation:

In a right triangle, the length of the hypotenuse (AC) can be found using the sine function. We know that angle a is 55 degrees and the length of line segment BC is 15. So, we can use the formula AC = BC/sin(a). Substituting the values, we get AC = 15/sin(55 degrees).

Calculating this value gives us approximately 19.23. Therefore, the correct answer is AC = 19.23 (rounded to the nearest hundredth).