Question

Find x
25
38
Please help me

Answer 1

x ≈ 40.6 units

(nearest tenth / one decimal place)

Explanation:

You can use the law of sines in this situation since you know it is a right triangle because of the right angle, and you have an angle and a corresponding side.

Given this information, you can use the equation:

sin A / a = Sin B / b = Sin C / c

Given: A is 38°, a is 25, C is 90°.

Find: x which is side c

sin A / a = Sin B / b = Sin C / c →

[Substitute the information given]

Sin (38°) / 25 = Sin (90°) / c →

[Use the basic identity of sin(90°)]

Sin (38°) / 25 = 1 / c →

[Use the reciprocal rule]

25 / Sin(38°) = c →

[Rotate the equation]

c = 25 / Sin(38°) →

[Solve]

c = 40.606731137068..

[Reduce to the nearest tenth

(one decimal place) and set c to x]

x ≈ 40.6

Answer 2

x ≈ 40.6

Explanation:

using the sine ratio in the right triangle

sin38° =
`(opposite)/(hypotenuse)` =
`(25)/(x)` ( multiply both sides by x )

x × sin38° = 25 ( divide both sides by sin38° )

x =
`(25)/(sin38)` ≈ 40.6 ( to 1 decimal place )