24.8k views
3 votes
Find the lengths of segment RS and segment QS

User Noisebelt
by
8.7k points

1 Answer

3 votes

In this case, we'll have to carry out several steps to find the solution.

Step 01:

Data

angle = 30°

opposite = QR = 7

RS = ?

QS = ?

Step 02:

tan α = opposite / adjacent

RS = adjacent

tan 30 = 7 / RS

RS * tan 30 = 7

RS = 7 / tan 30 = 7 / (√3 / 3) = 7 * 3 / √3 = 21 / √3 = 7 √3

QS = hypotenuse

sin α = opposite / hypotenuse

sin 30 = 7 / QS

QS * sin 30 = 7

QS = 7 / sin 30 = 7 / (1 /2) = 14

The answer is:

RS = 7 √3

QS = 14

User Taber
by
7.6k points

No related questions found

Welcome to QAmmunity.org, where you can ask questions and receive answers from other members of our community.

9.4m questions

12.2m answers

Categories