In Exercises 49–54, find the measure of the side of the right tri...

Question

In Exercises 49–54, find the measure of the side of the right triangle whose length is designated by a lowercase letter. Round answers to the nearest whole number.

Accepted Answer

Hello, everyone. We are going to find the length of the side opposite to angle degrees and round the answer to the nearest integer. We are given a right triangle, QR P with a right angle at angle R and 39 degrees at angle P site R P measures 51 m. Our answer choices are a 23 m. B 14 m C m D 63 m. So first, I'm gonna mark on my right triangle the side I'm trying to find. So that's side QR and I'm gonna call it X just so I can keep track of it. So now I have an angle I have looking for an opposite side and I have the adjacent side and I recall that the tangent is gonna give me the opposite divided by the adjacent for ratio. So I'm gonna take the tangent of degrees and that's gonna be equal to my opposite side X divided by my adjacent side. 51 using a calculator. I'm gonna find the tangent of 39 degrees. Make sure your calculator is in degree mode. And when I do so I get 0.80978. And I did round a little bit and that's gonna equal X divided by 51 to get the X by itself. I multiply both sides by 51. And when I finished multiplying that and I again, round it a little bit, I have 41.299 equals X the direction, say to round to the nearest integer. So this will be 41 and they were meters. So it's gonna be 41 m. So our opposite side has a length of 41 m which is answer choice C have a nice day.

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In Exercises 49–54, find the measure of the side of the right triangle whose length is designated by a lowercase letter. Round answers to the nearest whole number.