This week in math 10 we learned about trigonometry. We learned how to solve for missing lengths and how to identify different parts of the triangle, as well as an acronym to remember the different ratios (SOH CAH TOA).

For each equation solve for “X” and round your answer to the nearest whole number

Problem 1: 

1. First, you should label all sides of the triangle to help you write the equation (opposite, adjacent, hypotenuse)
2. Look at the lengths given and decide which of the tree signs you will be most appropriate (sin, cos, tan)
3. You need to isolate the variable in the equation. To isolate the variable you divide the sign by itself.
4. You the multiply the fraction on the right side by the sign in your equation. Since we don’t know the angle we have to invert the sign when we write it. Signs should always be written with an angle.
5. Solve the equation. Make sure to ado a degree symbol to the answer since you were solving for the angle and not side length.

 

Problem 2:

1. First, you should label all sides of the triangle to help you write the equation (opposite, adjacent, hypotenuse)
2. Look at the lengths given and decide which of the tree signs you will be most appropriate  (sin, cos, tan)

3. You need to isolate the variable in the equation. To do this you Multiply both sides of the problem by the denominator on the right side, in this case it would be 21.

4. Solve the equation.

 

Problem 3:

1. First, you should label all sides of the triangle to help you writ the equation (opposite, adjacent, hypotenuse)

2. Look at the lengths given and decide which of the tree signs you will be most appropriate (sin, cos, tan)

3. You need to get the variable on the top of the fraction so you reciprocate both sides of the equation.

4. You then want to isolate the variable so you multiply both numerators by the denominator of the fraction that contains the variable. In this case you multiply both sides by 28.

5. Solve the equation.