Question

Consider right triangle ABC below. Which expressions represent the length of side bc

Answer 1

Answer:

It's B and C

Step-by-step explanation:

I have this same question on Khan Academy, and it is B. 6⋅sin(35°) and C. 6⋅cos(55°)

Answer 2

The solution to the problem can be solved using trigonometric functions.

Trigonometric functions

$\rm{Sin \theta=\dfrac{Perpendicular}{Hypotenuse}$

$Cos \theta=\dfrac{Base}{Hypotenuse}$

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

where perpendicular is the side of the triangle which is opposite to the angle, and the hypotenuse is the longest side of the triangle which is opposite to the 90° angle.

The value of BC = 6 Cos(55°) =  6 Sin(35°).

Given to us

• AC = 6 units
• ∠A = 35°
• ∠B = 90°
• ∠C = 55°

Solution

1.  For ∠C

Cosine Function

$\rm{ Cos(\angle C) = \dfrac{Base}{Hypotenuse}$

$\rm{ Cos(55^o) = \dfrac{BC}{AC}$

$\rm{ Cos(55^o) = \dfrac{BC}{6}$

${BC}={6}\ Cos(55^o)$

2.  For ∠A

Sine Function

$\rm{ Sin(\angle A) = \dfrac{Perpendicular}{Hypotenuse}$

$\rm{ Sin(35^o) = \dfrac{BC}{AC}$

$\rm{ Sin(35^o) = \dfrac{BC}{6}$

${BC}={6}\ Sin(35^o)$

Hence, the value of BC = 6 Cos(55°) =  6 Sin(35°).

Learn more about trigonometric functions:

https://brainly.com/question/6904750