Question

BRAINLIEST
please help me do these problems I’ve almost finished the whole assignment

Answer 1

Answer:

13. PS ≈ 28.30

14. ∠CDB ≈ 68.74°

Step-by-step explanation:

13 =========================

We'll start from the right, at ∠R. We have the measurement of the angle, the adjacent side, and we need to find the measurement of the opposite side. Use the tan function in this case. (think soh-cah-toa)

$tan(28)=\frac{x}{39} \\x=39tan(28)$

or x ≈ 20.74

Now we know that QS is about 20.74. From ∠P this time, we have the angle, the opposite side, and we need the hypotenuse. sin function this time.

$sin(76)=\frac{39tan(28)}{y} \\ysin(76)=39tan(28)\\y=\frac{39tan(28)}{sin(76)}$

or y ≈ 28.30

PS ≈ 28.30

14 ======================

Start from ∠A and use tan.

$tan(47)=\frac{x}{18} \\x=18tan(47)$

x ≈ 19.30

Then from ∠CDB, we'll use inverse cos.

$cos^{-1}(\frac{7}{18tan(47)} )= y$

y ≈ 68.74°

∠CDB ≈ 68.74°

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I'm pretty highly confident this is correct, but it's been a long time since I've done this and the irrational numbers seem strange. If the rest of the assignment was like that though, it should be fine.