Find the side indicates by the variable. round to the nearest tenth.

QUESTION 1

The given triangle is right triangle with an acute angle measuring .

The length of the given side which is opposite to the angle is 8 units.

Recall that;

to the nearest tenth

QUESTION 2

The given right angle triangle has an acute angle measuring .

The hypotenuse has length 11 units.

is the length of the opposite side.

We use the sine ratio again to obtain;

to the nearest tenth.

QUESTION 3

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

We again use the sine ratio to obtain;

to the nearest tenth,

QUESTION 4

The given right angle triangle has an acute angle measuring .

The hypotenuse has length 5 units.

is the length of the opposite side.

We use the sine ratio again to obtain;

to the nearest tenth.

QUESTION 5

This time the given right angle triangle has an acute angle of 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;

to the nearest tent.

QUESTION 6

The given right angle triangle has an acute angle measuring .

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;

to the nearest tenth.

the answer is b.

step-by-step explanation:

by the trigonometric ratio tangent, tangent equals opposite divided by adjacent.

therefore, tan(50) equals ac/3

multiply each side by 3 to get: ac=3tan(50)

the answer is b.

step-by-step explanation:

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