Question

can someone please give me the answers to these 2 will add 40 points

Answer 1

Answer:

Q1. x = 17.1; y = 5.6

Q2. x = 9.7; y = 24.1

Step-by-step explanation:

Use sine and cosine.

$sine=\dfrac{opposite}{hypotenuse}$

$cosine=\dfrac{adjacent}{hypotenuse}$

Q8.

We have:

$opposite=y\\\\adjacent=x\\\\hypotenuse=18\\\\\alpha=18^o\\\\\sin18^o\approx0.309\\\\\cos18^o\approx0.9511$

Substitute:

$\dfrac{y}{18}=0.309$               multiply both sides by 18

$y=5.562\to y\approx5.6$

$\dfrac{x}{0.9511}=18$             multiply both sides by 0.9511

$x=17.1198\to x\approx17.1$

Q9.

We have:

$opposite=y\\\\adjacent=x\\\\hypotenuse=26\\\\\alpha=68^o\\\\\sin68^o\approx0.9272\\\\\cos68^o\approx0.3746$

Substitute:

$\dfrac{y}{26}=0.9272$             multiply both sides by 26

$y=24.1072\to y\approx24.1$

$\dfrac{x}{26}=0.3746$          multiply both sides by 26

$x=9.7396\to x\approx9.7$