Day 2 Law of cosines.

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Presentation transcript:

Day 2 Law of cosines

Use the law of cosines if are NOT provided with a side opposite an angle.

Find the measure. Round lengths to the nearest tenth and angle measures to the nearest degree. XZ

Find the measure. Round lengths to the nearest tenth and angle measures to the nearest degree.

Find the measure. Round lengths to the nearest tenth and angle measures to the nearest degree. YZ

Find the measure. Round lengths to the nearest tenth and angle measures to the nearest degree. mT

Find the measure. Round lengths to the nearest tenth and angle measures to the nearest degree. mK

Find the measure. Round lengths to the nearest tenth and angle measures to the nearest degree. mR

Solve the triangle. Round the length to the nearest tenth and the angle measure to the nearest degree.

What if…? Another engineer suggested using a cable attached from the top of the tower to a point 31 m from the base. How long would this cable be, and what angle would it make with the ground? Round the length to the nearest tenth and the angle measure to the nearest degree. 31 m

Round lengths to the nearest tenth and angle measures to the nearest degree. 1. mB = 20°, mC = 31° and b = 210. Find a. 2. a = 16, b = 10, and mC = 110°. Find c. 3. a = 20, b = 15, and c = 8.3. Find mA.

4. An observer in tower A sees a fire 1554 ft away at an angle of depression of 28°. To the nearest foot, how far is the fire from an observer in tower B? To the nearest degree, what is the angle of depression to the fire from tower B?