$$
A C=
$$

Round your answer to the nearest hundredth.

Question

$$
A C=
$$

Round your answer to the nearest hundredth.

Accepted Answer

∻Solution by Steps∻ ‖ step 1 ⋮ To find side AC, we will use the trigonometric function cosine, which relates the adjacent side and hypotenuse of a right triangle. ‖ ‖ step 2 ⋮ The cosine of angle B (40 degrees) is equal to the length of side AC (adjacent to angle B) divided by the length of side AB (the hypotenuse). ‖ ‖ step 3 ⋮ Using the cosine function: $\cos(40^\circ) = \frac{AC}{7}$. ‖ ‖ step 4 ⋮ Solve for AC: $AC = 7 \cdot \cos(40^\circ)$. ‖ ‖ step 5 ⋮ Calculate AC using a calculator and round to the nearest hundredth. ‖ ∻Answer∻ ⚹ AC ≈ 5.36 ⚹ ∻Key Concept∻ ⚹Trigonometric Functions in Right Triangles⚹ ∻Explanation∻ ⚹In a right triangle, the cosine of an angle is the ratio of the length of the adjacent side to the length of the hypotenuse. By knowing one angle and the hypotenuse, we can find the length of the adjacent side.⚹◊What is the length of side AC in the right triangle ABC given that side AB is 7 and angle B is 40 degrees?⍭ Generate me a similar question◊

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