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Σ B 2.9 cm Use the values sin 30° = 0.5, cos 30° = 0.866, tan 30° = 0.577 A b 30° 1. Determine the information that is given and what you are trying to find. Given: a. m/A = b. length of a = Find: hypotenuse (c) 2. Choose the correct trig ratio. 3. Solve for the unknown. 4. Substitute the given information. 5. Solve the problem.​



Answer :

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1. Determine the information that is given and what you are trying to find:
Given:
- The length of side a is 2.9 cm
- The angle A is 30°
We are trying to find the length of the hypotenuse (side c).

2. Choose the correct trigonometric ratio:
Since we know the length of the adjacent side (a) and the angle (A), we can use the cosine ratio to find the length of the hypotenuse (c).

3. Solve for the unknown:
The cosine ratio is given as:
cos A = a/c
Rearranging the equation, we get:
c = a/cos A

4. Substitute the given information:
a = 2.9 cm
A = 30°
cos 30° = 0.866

5. Solve the problem:
c = a/cos A
c = 2.9 cm / 0.866
c = 3.35 cm

Therefore, the length of the hypotenuse (c) is 3.35 cm.

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