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
[tex]\rm Tan\theta = \dfrac{Perpendicular}{Base}[/tex]
Where [tex]\rm tan\theta[/tex] = 55 degrees, Perpendicular = 15 and base is b.
Substitute all the value in the equation
[tex]\rm Tan\theta = \dfrac{Perpendicular}{Base}\rm\\\\ Tan55= \dfrac{15}{b}\\\\b = \dfrac{15}{Tan55}\\\\b = \dfrac{15}{1.42}\\\\b = 10.5 \ inches[/tex]
Hence, the length of line segment BC is 10.5 inches.
To know more about Trigonometry click the link given below.
https://brainly.com/question/13350002
