Question

Find x in triangle ABC, ∠C = 90, AB = 46, ∠BAC = 70.

A) 32.34
B) 35.62
C) 41.87
D) 49.50

Answer 1

To find x in triangle ABC, use the Pythagorean theorem and sin function.

Step-by-step explanation:

To find x in triangle ABC, we can use the trigonometric function sin. Since angle C is 90 degrees, we can use the Pythagorean theorem to find side AC: AC^2 = AB^2 + BC^2. In this case, AC^2 = 46^2 + x^2. We also know that angle BAC is 70 degrees, so we can use sin to solve for x: sin(70) = x/46.

Simplifying the equation, we get x = 46 * sin(70). Evaluating this expression, we find x ≈ 41.87.