Finding Angles and Trig

What is the sum of the interior angles of any triangle?

• 360 degrees

• 90 degrees

• 180 degrees

• 540 degrees

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CCSS.8.G.A.5

A good way to remember Trig Ratios is to use the memory aid

• SOH CAH TOA

• COH SAH OAT

• SOA COH TAH

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SOH CAH TOA Trig Ratios can only be used on right angle triangles

• True

• False

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CCSS.HSG.SRT.C.7

If you are looking for an angle and are given the lengths of the adjacent side and hypotenuse of the right triangle , what ratio would you use?

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CCSS.HSG.SRT.C.6

What is the value of side x?

• 26.2 in

• 31.3 in

• 43.5 in

• 36.06 in 

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CCSS.HSG.SRT.C.8

The distance between the water tower and a fire is 150 ft. The field of view from the ranger's tower shows 34 degrees between the fire and the tower. The field of view from the tower is 97 degrees between the tower and the fire. Use the sine law to determine how far away fire is from the ranger’s tower.

• 150 ft

• 148 ft

• 260 ft

• 266 ft

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Use the Sine Law to find the value of angle B

• 44 degrees

• 19 degrees

• 100 degrees

• 69 degrees

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CCSS.HSG.SRT.D.11

Two sides of the triangle represent the distance from each building to a satellite. They are 370 km and 350 km each. The known angle is 2.1 degrees from the vantage point of the satellite. Use the rearranged Cosine Law formula to find the distance between the two buildings. "a" represents the distance.

• 28 km

• 24 km

• 22 km

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CCSS.HSG.SRT.D.10

CCSS.HSG.SRT.D.11

If you have a triangle with no right angle, you can solve it using

• angle and opposite side length with one more angle OR side length

• three side lengths

• two side lengths and one angle

• You can use all of these options to solve a non-right triangle

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CCSS.HSG.SRT.D.10

CCSS.HSG.SRT.D.11

With a non-right angle triangle, you are only given:

two sides and an angle

or

three sides and no angle

What can you use to solve this triangle?

• Sine law

• Cosine law

• Pythagorean theorem

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CCSS.HSG.SRT.D.11