TRIGONOMETRY

TRIGONOMETRYCHAPTER 2

2.2 Using the Tangent Ratio to Calculate Lengths

2.2 Using the Tangent Ratio to Calculate Lengths

You knew the values of two legs and you calculated the value of an

acute angle

Previously:

2.2 Using the Tangent Ratio to Calculate Lengths

You will know the value of one leg and an acute angle you will

calculate the value of the other leg

In this section:

Determine the length of AB to the nearest tenth of a centimetre.• In right ∆ABC, AB is the

side opposite C∠ and BC is the side adjacent to C∠ .

Determine the length of AB to the nearest tenth of a centimetre.• In right ∆ABC, AB is the

side opposite C∠ and BC is the side adjacent to C∠ .

• Use the tangent ratio to write an equation.

• Solve this equation for AB.AB is

approximately 5.8 cm long.

Determine the length of EF to the nearest tenth of a centimetre.• In right ∆DEF, DE is

opposite F ∠ and EF is adjacent to F∠ .

• Solve the equation for EF

EF is approximately 9.6 cm long.

POWERPOINT PRACTICE PROBLEMDetermine the length of VX to the

nearest tenth of a centimetre.

POWERPOINT PRACTICE PROBLEMAt a horizontal distance of 200 m from the base of an observation tower, the

angle between the ground and the line of sight to the top of the tower is

8°. How high is the tower to the nearest metre? The diagram is not

drawn to scale.

HOMEWORKO PAGES: 82 - 83O PROBLEMS:3(a,b), 4 (a, b), 6, 8, 10,