Trigonometry Diagnostic

• $\frac{13}{12}$

• $\frac{12}{13}$

• $\frac{13}{5}$

• $\frac{5}{13}$

Calculate the angle B.

• $23\degree$

• $22.6\degree$

• $67.4\degree$
  

• $67\degree$

Calculate the measurement of the largest angle in a triangle with three side lengths 3 cm, 7cm, and 5 cm.

• $120\degree$

• $60\degree$

• $115\degree$

• $90\degree$

In triangle ABC, the length of AB is 12 cm, and the measure of angles A, B, and C are 30 degrees, 60 degrees, and 90 degrees respectively. Find the measure of BC.

• 10.4 cm

• 6 cm

• 8 cm

• 10 cm

Sally walks on a bearing of 240 degrees from home, point A, to point B for 10 km. She then walks from point B towards point C for 12 km on a bearing of 010 degrees. Determine her distance from home, A.

• 76.7 km

• 11.3 km

• 89.7 km

• 9.47 km

Determine the exact length of BE if AB is 4 cm longer than BE and DC is 3 cm less than twice the length of BE.

• 2.62 cm

• 4 cm

• 4.61 cm

• -2.61 cm

A small, triangular field, ABC, has measurements with BC = 25 m, angle BAC = 55 degrees and angle ACB = 75 degrees. Find the size of angle ABC. 

•  $50\degree$  

•  $60\degree$  

•  $70\degree$  

•  $80\degree$  

A small, triangular field, ABC, has measurements with BC = 25 m, angle BAC = 55 degrees and angle ACB = 75 degrees. Calculate the length of AC.

• 23.5 m

• 25 m

• 23.4 m

• 23 m

A small, triangular field, ABC, has measurements with BC = 25 m, angle BAC = 55 degrees and angle ACB = 75 degrees. Calculate the area of the field ABC.

• 282.6 m²

• 192 m²

• 280 m²

• 283 m²