Week 9 Formative Assessment - Trigonometry

Using your own words, define the term "inverse" in relation to trigonometry.

Calculate the length of the unknown side to one decimal place:

• 22.1 mm

• 2.3 mm

• 210.5 mm

• 90.6 mm

Calculate the length of the unknown side to one decimal place:

• 39.7 cm

• 39.8 cm

• 130 cm

• 11.6 cm

Calculate the length of the unknown side to one decimal place:

• 60.9 m

• 78 m

• 46.8 m

• 37.5 m

Find the unknown angle correct to the nearest degree:

• 70 degrees

• 19 degrees

• 20 degrees

• 21 degrees

Find the unknown angle correct to the nearest degree:

• 30 degrees

• 60 degrees

• 26 degrees

• 61 degrees

Find the unknown angle correct to the nearest degree:

• 31 degrees

• 52 degrees

• 37 degrees

• 38 degrees

A 3m ladder is leaning against a vertical wall.

Step 1: Decide the distance from the wall the base of the ladder. (your choice: hint, it can't be longer than the hypotenuse)

Step 2: Using your values, determine the angle at which the top of the ladder makes with the wall

Step 3: Determine the size of the angle that is made with the bottom of the ladder and the ground.

Step 4: Determine how far up the wall the top of the ladder hits.(

Here is a picture of a roof:

Step 1: Decide the value of theta in the diagram. (hint: it can't be greater than 90 degrees)

Step 2: Use the values to determine the length of x