Trigonometry Answers

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.

Two sides and an angles are given. Determine whether the given information results in one triangle, two triangles , or no triangle at all. If there is one or more triangles solve any triangle(s) that results. If there is no triangle, show and provide an explanation why.

B = 106 degrees, b = 5, a = 23

A water wheel rotates through the angle x, the water level L behind the wheel changes according the equation "L = 1 - cos x - 2 sin^2 x" where L is measured in inches. Determine all values of x in degrees for which the water level is zero.

If sin (B) = -1/3 with B with B in Quadrant 3, find tan (B/2).

We know that the cos 60 degrees = 1/2. Show that the above is true using a half angle identity.

The sun is shining down with an angle of depression of 75°. How long is the shadow of a boy who is 1.2 meters tall