Trigonometry Answers

Determine the measures of and to the nearest tenth of a degree, and the length of side

AB to one decimal place.

A B

C

3

4

D

A= C=

Side

AB=

A balloon is flying at the end of a 170-m length of string, which is anchored to the ground. The

angle of inclination of the string is 50. Calculate the height of the balloon relative to the ground,

to the nearest metre.

a. 130 m b. 143 m c. 109 m d. 222 m

5. Determine the length of XY to the nearest tenth of a centimetre.

61°

17.4 cm

Y X

Z

a. 8.4 cm b. 15.2 cm c. 31.4 cm d. 19.9 cm

A function  of period  defined by

​ ​

​.

 Vector has magnitude of 20 km with quadrant bearing S 30° W and vector has magnitude of 35 km with quadrant bearing N 67°W. 

Solve (sinx)sec^2(x)+(cos x)cosec^2 (x)=0.

1. Draw the following vectors using the scale 1 cm = 50 km/h.
2. 200 km/h on a bearing of 020°
3. 75 km/h S 10° W
4. 350 km/h NE
5. Draw the opposite vector of each vector from question #2 (with tail starting from the origin) and state the direction as a true bearing and quadrant bearing.
   
6. Resolve each vector from question #2 into its horizontal and vertical components.

Capt. Hooke is on a treasure hunt. His GPS shows him that he is 25 m away from what he is looking for. He walks 25 m towards west. The GPS compass now tells him that the treasure is due south from where he is standing. How far south does he need to go to discover it?

1. A cart is pushed up a ramp with a force of 250 N. The ramp sits at a 28° angle with the horizontal.

A. Determine the components of the vector representing the force.

B. Describe what would happen if the angle of the ramp was decreased?

A, B & C form the vertices of a triangle.

∠

 CAB = 90°, ∠

 ABC = 74° and AB = 8.9.

Calculate the length of BC rounded to 3 SF.