Find the side indicated by the variable. Round to the nearest tenth.

$Find the side indicated by the variable. Round to the nearest tenth. PLEASE HELP$

## This Post Has 3 Comments

1. evandlubbep6bsvu says:

QUESTION 1

The given triangle is right triangle with an acute angle measuring $53\degree$.

The length of the given side which is opposite to the $53\degree$ angle is 8 units.

Recall that;

$\sin(53\degree)=\frac{Opposite}{Hypotenuse}$

$\Rightarrow \sin(53\degree)=\frac{8}{u}$

$\Rightarrow u=\frac{8}{\sin(53\degree)}$

$\Rightarrow u=10.017$

$\Rightarrow u=10.0$ to the nearest tenth

QUESTION 2

The given right angle triangle has an acute angle measuring $68\degree$.

The hypotenuse has length 11 units.

$c$ is the length of the opposite side.

We use the sine ratio again to obtain;

$\sin(68\degree)=\frac{c}{11}$

$c=11\sin(68\degree)$

$c=10.197$

$c=10.2$ to the nearest tenth.

QUESTION 3

This time the right angle triangle has an acute angle of $59\degree$ and the side opposite this angle is 26 units,

We again use the sine ratio to obtain;

$\sin(59\degree)=\frac{26}{k}$

$\Rightarrow k=\frac{26}{\sin(59\degree)}$

$\Rightarrow k=30.335$

$\Rightarrow k=30.3$ to the nearest tenth,

QUESTION 4

The given right angle triangle has an acute angle measuring $22\degree$.

The hypotenuse has length 5 units.

$a$ is the length of the opposite side.

We use the sine ratio again to obtain;

$\sin(22\degree)=\frac{a}{5}$

$a=5\sin(22\degree)$

$a=1.875$

$a=1.9$ to the nearest tenth.

QUESTION 5

This time the given right angle triangle has an acute angle of $47\degree$ and the side opposite this angle has length 51 units.

The side we want to find is adjacent to the given angle. We use the tangent ratio to obtain;

$\tan(47\degree)=\frac{51}{b}$

$b=\frac{51}{\tan(47\degree)}$

$b=47.558$

$b=47.6$ to the nearest tent.

QUESTION 6

The given right angle triangle has an acute angle measuring $49\degree$.

The hypotenuse has length 6 units.

The side whose length we want to find is opposite to the given angle, we use the sine ratio to get;

$\sin(49\degree)=\frac{n}{6}$

$\Rightarrow n=6\sin(49\degree)$

$\Rightarrow n=4.528$

$n=4.5$ to the nearest tenth.

2. marusiaturanova2004 says:

1. u = 10

2. c = 22

3. k = 30.3

4. a = 1.9

5. b = 47.6

6. n = 4

Step-by-step explanation:

3. rqg001e says:

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