Trigonometric Functions and Right Triangles

This video tutorial explains how to find the length of the adjacent side (x) in a right triangle using the tangent function. It begins by identifying the sides of the triangle relative to a given angle, then applies the tangent function to set up an equation. The tutorial demonstrates solving the equation for x and using a calculator to find the solution, rounding to the nearest hundredth.

What is the angle given in the problem for the right triangle?

• 90 degrees

• 30 degrees

• 59 degrees

• 45 degrees

Which side of the triangle is opposite the given angle?

• The hypotenuse

• The side with length x

• The side with length 10 units

• The adjacent side

What is the hypotenuse in a right triangle?

• The side opposite the given angle

• The side adjacent to the given angle

• The side opposite the right angle

• The side with the smallest length

Which trigonometric function is used to find the length of x?

• Secant

• Cosine

• Sine

• Tangent

What is the equation used to find x using the tangent function?

• tangent(59) = x/10

• tangent(59) = 59/x

• tangent(59) = 10/x

• tangent(59) = x/59

What is the first step in solving the equation for x?

• Multiply both sides by x

• Subtract x from both sides

• Divide both sides by 10

• Add 10 to both sides

How do you simplify the equation after multiplying both sides by x?

• Divide by 10

• Subtract 10

• Cancel x on both sides

• Add x to both sides

What is the final step to solve for x?

• Subtract tangent(59)

• Multiply by tangent(59)

• Divide by tangent(59)

• Add tangent(59)

What should you check on the calculator before finding the value of x?

• That it is in scientific mode

• That it is in degree mode

• That it is in standard mode

• That it is in radian mode

What is the approximate value of x rounded to the nearest hundredth?

• 6.00

• 5.99

• 6.01

• 6.10