ReviewLaw of Sines, Law of Cosines, SOH CAH TOA

Find x.

Find x.

Find the distance across the lake from to A to C to the nearest yard, using the measurements shown in the figure.

Find b.

Find C.

• The distance “as the crow flies” from Los Angeles to New York is 2451 miles and from New York to Montreal is 331 miles. How far is it from Montreal to Los Angeles based on the diagram below?

82°

Find b.

Find A.

Triangles are used in buildings and bridges because they are rigid which makes them strong. Below you see one example of triangles in a building. Use the figure on the right to find the area of one of the giant triangles on this building.

Find the area of the rectangle below. Round to the nearest tenth.

Solve triangle ABC if m<A= 55°, m<B= 44°, and b = 68.

Solve triangle ABC if m<A= 90°, m<C=47°, and b = 68.

Using the figure below, compare the cost of constructing a road on a rocky surface between points X and Y at the rate of $30/ft with the cost of building the road on a soil surface with an indirect route from point X to point Z to point Y for $20/ft. Is the shorter route the most economical? Explain your answer in sentences, supported with calculations.