5.5 Warmup: Steps: Using Trigonometry to find Missing Sides

Have you ever looked up at a tall building or at another very tall object and wondered how tall it was? Describe the situation. Have you ever thought about how you might be able to determine the height of that object?

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Step 1 of a trigonometric problem is to pick a reference angle. The reference angle cannot be the 90 degree angle. In triangle BAJ, what is the reference angle?

• 90˚

• 95˚

• 50˚

• 35˚

Let 50 degrees be your reference angle for triangle BAJ. What is the "opposite" side?

• CA

• BA

• BC: 100

• BJ: 74.875

Let 50 degrees be your reference angle for triangle BAC. What is the hypotenuse?

• BJ: 74.875

• CA

• BC: 100

• BA

• JA

Let 50 degrees be your reference angle for triangle BAC. What would the adjacent side be?

• BJ: 74.875

• CA

• BC: 100

• BA

• JA

If you are solving for JA, what 2 sides are you going to be using in your equation to cross multiply?

• BA and 74.875

• JA and 74.875

• BA and JA

• BA

• JA

If you are solving for JA, which trigonometric ratio would you use?

• sin: SOH

• cos: CAH

• tan: TOA

If you are solving for JA, how might you set u your equation?

• sin(50˚)=opp/hyp=BA/74.875

• tan(50˚)=opp/adj = BA/JA

• cos(50˚)= adj/hyp =JA/74.875

• cos(50˚)= adj/hyp =74.875/JA

8. What is JA? Round to the nearest hundredth (2 after the decimal).

What is JC? Round to the nearest whole number.