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3 years ago

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The equation tan(55 degree) equals StartFraction 15 Over b EndFraction can be used to find the length of Line segment A C. Trian

gle A B C is shown. Angle B C A is a right angle and angle B A C is 55 degrees. The length of A C is b and the length of hypotenuse B C is 15 centimeters. What is the length of Line segment A C? Round to the nearest tenth. 3. 0 in. 9. 8 in. 10. 5 in. 12. 8 in.

1 answer:

kaheart [24]3 years ago

7 0

The length of line segment BC is 10.5 inches.

Given that

The equation tan(55 degrees) equals 15/b, which can be used to find the length of Line segment AC.

Triangle ABC is shown.

Angle BCA is a right angle and angle BAC is 55 degrees.

The length of AC is b and the length of hypotenuse BC is 15 centimeters.

We have to determine

What is the length of Line segment AC?

According to the question

Triangle ABC is shown.

Angle BCA is a right angle and angle BAC is 55 degrees.

The length of AC is b and the length of hypotenuse BC is 15 centimeters.

Here, BC is not the hypotenuse of the right triangle ABC.

The length line segment AC is given by,

In triangle ABC

$\rm Tan\theta = \dfrac{Perpendicular}{Base}$

Where $\rm tan\theta$ = 55 degrees, Perpendicular = 15 and base is b.

Substitute all the value in the equation

$\rm Tan\theta = \dfrac{Perpendicular}{Base}\rm\\\\ Tan55= \dfrac{15}{b}\\\\b = \dfrac{15}{Tan55}\\\\b = \dfrac{15}{1.42}\\\\b = 10.5 \ inches$

Hence, the length of line segment BC is 10.5 inches.

To know more about Trigonometry click the link given below.

brainly.com/question/13350002

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