Question

Given our ∠ RPS = 62° , PQ equals 15 and QS equals 18 of the rectangles

Answer 1

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

Step 01:

Data:

∠ RPS = 62°

PQ = 15

QS = 18

Step 02:

rectangle:

we must analyze the figure to find the solution.

m ∠ QPR = (90 - 62)° = 28°

m ∠ PTQ = (180 - 28 - 28)° = 124°

PR:

PR = QS = 18

ST:

ST = QS / 2 = (18 / 2) = 9

PS:

PR² = PS² + SR²

SR = PQ = 15

18² = PS² + 15²

PS² = 18² - 15²

`PS\text{ = }\sqrt[]{18^2-15^2}=\sqrt[]{99}=9.95`

The answer is:

m ∠ QPR = 28°

m ∠ PTQ = 124°

ST = 9

PR = 18

PS = 9.95