I would love to see what type of Cosine Law problems you can come up with! Feel free to create your own problem and type it out (or attach a picture) in the Ask a Question box! Your question might be featured with a full video solution!
Practice: Cosine Law
Towers A, B, and C are positioned as a triangle. A plane travelling at a constant speed of 150km/h is flying between the 3 towers. It starts at tower A and flies for 2 hours to reach tower B. It then takes 3 hours to reach tower C. Finally, it travells for 1.5 hours to reach tower A. Determine the angle of this flight path at tower C.
Practice: Cosine Law
A neon sign is hanging in mid-air, suspended by 2 wires. One of the wires is 0.7m long and connects the top of the sign to an anchor on a wall to the left of the sign. The other wire is 1.2m long and connects the top of the sign to an anchor on a wall to the right of the sign. If the angle formed by the 2 wires is , calculate the distance between the 2 anchors on the walls.
Practice: Trigonometry
The pyramid shown below is a right pyramid with a base that is a regular pentagon that is inscribed in a circle with radius 3m. The side of the pyramid connecting the vertex of the pyramid to one of the vertices of the pentagonal bases is 5m.
a) Calculate the perimeter of the pentagonal base.
b) Determine the volume of this pentagonal-based right pyramid.
[Recall: the volume of a right pyramid is ]
