Using relations in a right triangle, it is found that the length of AC is of 6.43 inches.
<h3>What are the relations in a right triangle?</h3>
The relations in a right triangle are given as follows:
- The sine of an angle is given by the length of the opposite side to the angle divided by the length of the hypotenuse.
- The cosine of an angle is given by the length of the adjacent side to the angle divided by the length of the hypotenuse.
- The tangent of an angle is given by the length of the opposite side to the angle divided by the length of the adjacent side to the angle.
In this problem, the length of side AC is b, which is opposite to the angle of 40º, while the hypotenuse is of 10 in, hence:
Using a calculator:
More can be learned about relations in a right triangle at brainly.com/question/26396675
Answer:
4.99 units
Step-by-step explanation:
Considering ∆ABD in the figure given, <ABD = <ABC = 90° (angle on a straight line)
Therefore, we would consider ∆ABD as a right angled triangle having side AB = 3 units, and angle D = 31°
==>Use trigonometric function to solve for the length of side BD
Side BD is the adjacent side to the angle given, while side AB is the opposite side to the angle given.
Thus,
tan D = opposite/adjacent
tan 31 = 3/BD
0.6009 = 3/BD
multiply both sides by BD
0.6009*BD = 3
Divide both sides by 0.6009 to make BD the subject of formula
BD = 3/0.6009
BD ≈ 4.99 units
Yes, they are congruent. Congruent means that they are exactly equal in size and shape. The are both Right Triangles (you can tell by the 90 degree angle) and the lines on them are in the same spots, which means, line YZ is equal to line BC, and that line XZ is equal to line AC. I hope that helped! :)
Answer:
4th option, 5 5/6
Step-by-step explanation:
8 1/2 - 2 2/3
= 17/2 - 8/3
= (51-16)/6
= 35/6
= 5 5/6
Answered by GAUTHMATH
Answer:mark me a brainiest pls
that is a linear function search it up on Google youl get the answer from there
