Question

Which of the following statements would best represent the value of a? PLEASE HELP

Answer 1

The statement would best represent the value of a is a =
`(6)/(tan(38))` ⇒ c

Explanation:

In the right angle triangle, we can use the trigonometry ratios to find the missing sides or angles

• sin β =
  `(opposite)/(hypotenuse)`

• cos β =
  `(adjacent)/(hypotenuse)`

• tan β =
  `(opposite)/(adjacent)`

In the given right triangle

∵ There measure of an acute angle is 38°

∵ The adjacent side to this angle is a

∵ The opposite side to this angle is 6

→ We will use the tangent ratio because we have the opposite and

adjacent sides of the given angle

∴ tan(38°) =
`(6)/(a)`

→ Multiply both sides by a to cancel the denominator in the right side

∴ a · tan(38°) = 6

→ Divide both sides by tan(38°) to find a

∴ a =
`(6)/(tan(38))`

∴ The statement would best represent the value of a is a =
`(6)/(tan(38))`