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What is the length of segment AC? Round your answer to the nearest hundredth.

triangles ABC and ABD in which the triangles share segment AB and angle B is a right angle, the measure of angle CAB is 34 degrees, the measure of angle BDA is 31 degrees, and the measure of segment AB is 3 units

2.49 units
3.62 units
4.48 units
5.36 units

Respuesta :

MathPhys

Answer:

3.62 units

Step-by-step explanation:

Draw a picture of the two triangles.

The measure of AC can be found using cosine:

cos 34° = 3 / x

x = 3 / cos 34°

x = 3.62

Ver imagen MathPhys

The required length of the AC is 3.62 units.

Triangles are given as ABC and ABC with common side AB =3 units, angle B is 90°, and Angle BAC is 34°. AC is hypotenuse and AB is the base for triangle ABC.
Length of the AC to be determined.

What is trigonometry?

Trigonometry is a branch of mathematics that deals with triangles.

Here,
As, AB is base and AC is the hypotenuse,
cos34 = Base / hypotenuse
cos 34 = 3 / AC
AC = 3/ cos 34
(since cos34 = 0.83)
AC = 3/0.83
AC = 3.62 units

Thus, the required length of the AC is 3.62 units.

Learn more about trigonometry here:
https://brainly.com/question/26719838

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