Question

Look at the figure:

An image of a right triangle is shown with an angle labeled x.

If tan x° = z divided by 10 and cos x° = 10 divided by y, what is the value of sin x°?

sin x° = z over y
sin x° = y over z
sin x° = 10z
sin x° = 10y

Answer 1

sinX=z/y because the 10s cancel out .

Answer 2

A ;)

Answer 3

thanxx
im horrible with algebra

Answer 4

Np just tag me and i will try and help if i can

Answer 5

awesome thanx

Answer 6

If the sin 30° = 1 over 2, then the cos 60° = _____.

0, because the angles are complementary
1 over 2, because the angles are complementary
square root 3 over 2, because the angles are complementary
1, because the angles are complementary
@damonte212

Answer 7

Assume angle ACB = 30
sin30 = opp/hyp = AB/AC = 1/2
Then since ABC is 90, angle CAB is 60
cos CAB = cos 60 = adj/hyp = AB/AC, which is the same ratio as we had for sin 30.
Therefore cos 60 is also = 1/2

You could also use the double angle formula, if that's one of the "trig identities" you referred to.
cos 2Θ = cos^2 Θ - sin^2 Θ

You know cos 30 = ±√3/2 (e.g., since 1 = cos^2 30 + sin^2 30, 1 - 1/4 = 3/4 = cos^2 30, so cos 30 = ±√3/2)

Therefore cos 2Θ = (√3/2)^2 - (1/2)^2 = 3/4 - 1/4 = 1/2

Answer 8

honestly you're a life saver cause I'm try to finish this online class before April so i can graduate

Answer 9

Two ropes, AD and BD, are tied to a peg on the ground at point D. The other ends of the ropes are tied to points A and B on a flagpole, as shown below:

Two ropes, AD and BD, are tied to a peg on the ground at point D. The other ends of the ropes are tied to points A and B on a flagpole. Angle ADC measures 60 degrees and angle BDC measures 45 degrees. The length of DC is 9.

Angle ADC measures 60° and angle BDC measures 45°. What is the distance between the points A and B on the flagpole?

6.59 feet
1.73 feet
4.32 feet
2.56 feet
@damonte212

Answer 10

First I find the measure of AC:

tan(60o)=x9

Simplify tangent of 60 degrees:

1.73205081=x9

Multiply 9 to both sides:

x≈15.5884573

Now I find the measure of BC.

tan(45o)=x9

Simplify tangent of 45 degrees:

1=x9

Multiply 9 to both sides:

x=9

Therefore to find the length of AB, I will subtract the measure of BC from the measure of AC.

15.5884573−9≈6.59

A.

Answer 11

Look at the triangle:

A right angle triangle is shown with hypotenuse equal to 13 centimeters. An acute angle of the triangle is labeled as x degrees. The side adjacent to the acute angle has length 12 centimeters and the side opposite to the acute angle has length 5 centimeters.

What is the value of sin x°?

12 ÷ 13
13 ÷ 5
13 ÷ 12
5 ÷ 13
@damonte212