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Mazyrski [523]
2 years ago
11

Triangle ABC is a right triangle and cos(22.6o)=b/13. Solve for b and round to the nearest whole number. Which equation correctl

y uses the value of b to solve for a? tan(22.6o) = a/13 tan(22.6o) = 13/a tan(22.6o) = a/12tan(22.6o) =12/a
Mathematics
1 answer:
coldgirl [10]2 years ago
3 0

Answer:

Part 1) The value of b is 12\ units

Part 2) tan(22.6\°)=\frac{a}{12}

Step-by-step explanation:

Part 1)

Find the value of b

In the right triangle ABC

Let

b-------> the adjacent side to angle 22.6°

a -----> the opposite side to angle 22.6°

13 ----> the hypotenuse of the right triangle ABC

we have

The cosine of angle 22.6° is equal to divide the adjacent side to angle 22.6° by the hypotenuse

cos(22.6\°)=\frac{b}{13}

Solve for b

Multiply both sides by 13

b=(13)cos(22.6\°)=12\ units

Part 2) Which equation correctly uses the value of b to solve for a?

we know that

In the right triangle ABC

The tangent of angle 22.6° is equal to divide the opposite side to angle 22.6° by the adjacent side to angle 22.6°

so

tan(22.6\°)=\frac{a}{b}

we have

b=12\ units

substitute

tan(22.6\°)=\frac{a}{12}

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