Question

The equation cos(35°) =

can be used to find the length
What is the length of PC? Round to the nearest tenth
of BC
49.6
= 20.5 in
350
B
25 in.​

Answer 1

Hello!

The answer is:

The length of BC is equal to 20.5 inches.

Why?

Since we are working with a right triangle and we already know some of its dimensions, we can calculate the length of PC using the following equation:

`Cos\alpha =(a)/(Hypotenuse)`

Where,

a is equal to BC

hypotenuse is equal to 25 inches.

alpha is equal to 35°

So, we will have the following equation and we can isolate "a" from it, so substituting we have:

`Cos(35\°)=(a)/(25in)`

`a=25in*Cos(35\°)=20.47inches`

Hence, the length of BC is equal to 20.5 inches (rounded to the nearest tenth)

Have a nice day!

Answer 2

The length of side BC is 20.5 in

Explanation:

we know that

In the right triangle ABC

The function cosine of angle of 35 degrees is equal to divide the adjacent side to angle of 35 degrees by the hypotenuse of the right triangle

so

cos(35°)=a/25

Solve for a

Multiply by 25 both sides

a=(25)*cos(35°)=20.5 in

therefore

The length of side BC is 20.5 in