Question

Englis

malytic Geometry-Jelksi Anthony
Solving for Side Lengths of Right Triangles
Assignment
Active
Writing Equations Using Trigonometric Ratios
A
Which equations could be used to solve for the
unknown lengths of ABC? Check all that apply.
sin(45%) = BC
45
9
sin(459) = 9
9 tan(45%) = AC
(AC)sin(459) = BC
COS(450) =
С
B

Answer 1

`AC = 9cos(45)`

`BC = 9 sin(45)`

Explanation:

Given

See attachment for triangle

Required

Select the equations that solves the unknown lengths

From the attachment, the unknown lengths are:

AC and CB

Where

`AB = 9`

To calculate AC, we make use of cosine rule

`cos\theta = (Adjacent)/(Hypotenuse)`

`cos(45)= (AC)/(9)`

Make AC the subject

`AC = 9*cos(45)`

`AC = 9cos(45)`

To solve for BC, we make use of sine rule

`sin\theta = (Opposite)/(Hypotenuse)`

`sin(45)= (BC)/(9)`

Make BC the subject

`BC = 9 * sin(45)`

`BC = 9 sin(45)`