Knowee
Questions
Features
Study Tools

In △ABC shown below,  𝑆𝑖𝑛𝐶=45 and the length of AB is 10 inches. What is the length, in inches, of   𝐴𝐶― ?

Question

In △ABC shown below,

𝑆𝑖𝑛𝐶=45 and the length of AB is 10 inches. What is the length, in inches, of 𝐴𝐶― ?

🧐 Not the exact question you are looking for?Go ask a question

Solution

The question seems to be missing the diagram of triangle ABC. However, based on the given information, we can assume that angle C is opposite side AC.

In a right triangle, the sine of an angle is defined as the length of the opposite side divided by the length of the hypotenuse.

So, if SinC = 45, then we have:

SinC = AC/AB

Rearranging the equation to solve for AC gives:

AC = AB * SinC

Substituting the given values:

AC = 10 * Sin45

The Sin45 is approximately 0.7071 (in most cases you can use this approximation).

So,

AC = 10 * 0.7071 = 7.071 inches

Therefore, the length of AC is approximately 7.071 inches.

This problem has been solved

Similar Questions

In the diagram shown of right triangle BAC, m∠A=90, m∠B= 45 and AC = 8, what is the length of BC?

Circle B includes XY⌢𝑋𝑌⌢that measures 4 feet.  What is the length of Circle B's diameter, rounded to the nearest tenth?

List the side lengths of △STU in order from smallest to largest, given that m∠U=45°, m∠S=80°, and m∠T=55°.

The legs of a 45-45-90 triangle have a length of 8 units. What is the length of its hypotenuse?

Each leg of a 45-45-90 triangle has a length of 6 units. What is the length of its hypotenuse?A.6 unitsB.12 unitsC.3 unitsD.6 unitsSUBMITarrow_backPREVIOUS

1/3

Upgrade your grade with Knowee

Get personalized homework help. Review tough concepts in more detail, or go deeper into your topic by exploring other relevant questions.