Question

The equation sin(25") = 9/c
can be used to find the length of
What is the length of AB? Round to the nearest tenth.
19.3 in
21.3 in.
23.5 in
680 in

Answer 1

Option B: 21.3 in is the length of AB

Explanation:

The equation is $\sin 25^{\circ}=\frac{9}{c}$

To find the length of AB, let us equate,

$c=\frac{9}{\sin 25^{\circ}}$

Substituting the value for sin 25°, we get,

$c=\frac{9}{0.4226}}$

Dividing the values, we have

$c=21.3$

Thus, the length of AB is 21.3 in.

The correct answer is Option B.

Answer 2

The length of side AB in the triangle is 21.3 in

Trigonometric ratio

Trigonometric ratio is used to show the relationship between the sides and angles of a right angled triangle.

Let c represent the length of side AB in the triangle, hence:

sin(25) = 9/c

c = 21.3 in

The length of side AB in the triangle is 21.3 in

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