Question

Solving a right triangle ‼️ Can someone help me find A,a and c❓ (Round to the nearest tenth)

Answer 1

see explanation

Explanation:

The sum of the 3 angles in a triangle = 180°

Subtract the sum of the given angles from 180 for A

A = 180° - (90 + 48)° = 180° - 138° = 42°

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tan48° =
`(opposite)/(adjacent)` =
`(18)/(a)`

Multiply both sides by a

a × tan48° = 18 ( divide both sides by tan48° )

a =
`(18)/(tan48)` ≈ 16.2 ( to the nearest tenth )

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sin48° =
`(opposite)/(hypotenuse)` =
`(18)/(c)`

Multiply both sides by c

c × sin48° = 18 ( divide both sides by sin48° )

c =
`(18)/(sin48)` ≈ 24.2 ( to the nearest tenth )