Trigonometry and SOHCAHTOA Problems

The video tutorial covers solving word problems using SOHCAHTOA, focusing on right triangles. It provides step-by-step guidance on drawing diagrams, writing equations, and using calculators to solve for unknowns. Three example problems are discussed: finding a missing side length using cosine, calculating a missing angle using tangent, and a multi-step problem involving two right triangles.

What is the first step in solving word problems using SOHCAHTOA?

• Identify the unknown

• Draw a picture

• Use a calculator

• Write an equation

Why is it important to draw a right triangle when using SOHCAHTOA?

• It is a requirement for all math problems

• It helps in visualizing the problem

• It makes the problem easier to solve

• SOHCAHTOA only works with right triangles

What should you do after drawing the picture in a SOHCAHTOA problem?

• Check your work

• Use a calculator

• Write an equation

• Solve for the unknown

In the problem involving the rocket, what is the known angle of elevation?

• 41 degrees

• 30 degrees

• 45 degrees

• 50 degrees

What trigonometric function is used to solve for the hypotenuse in the rocket problem?

• Sine

• Cosine

• Tangent

• Secant

How do you isolate the variable X in the equation involving cosine?

• Multiply both sides by cosine

• Subtract cosine from both sides

• Add cosine to both sides

• Divide both sides by cosine

What is the calculated distance between the rocket and the observer?

• 850 yards

• 1000 yards

• 750 yards

• 993.76 yards

In the tower problem, what is the length of the horizontal segment?

• 3000 feet

• 5280 feet

• 4000 feet

• 2059 feet

Which trigonometric function is used to find the angle of elevation in the tower problem?

• Sine

• Cotangent

• Cosine

• Tangent

What is the calculated angle of elevation to the top of the tower?

• 21.3 degrees

• 15.5 degrees

• 45 degrees

• 30 degrees