Question

PLEASE HELP!! if sec x=5/3 what is the value of b? NL=20 LM=3b angle of L is x degrees.

a. b=4

b. b=5

c. b=6

d. b=7

Answer 1

B= 4

Explanation:

I got it right on the test

Answer 2

a. b=4

Explanation:

`\sec \theta =(1)/(\cos \theta) = (Hypotenuse)/(Adjacent)`

From the attached triangle drawn below:

NL=20, LM=3b,
`\angle L=x^\circ`

`\sec x =(20)/(3b)`

Since we are told that:

`\sec x =(5)/(3)\\$Then:\\(20)/(3b) =(5)/(3)\\$Cross multiply\\5 * 3b =20 * 3\\15b=60\\$Divide both sides by 15\\15b / 15 =60 / 15\\b=4`

The correct option is A.