Lesson 3 - Finding Missing Angles of Right Triangles

Today we will be working backwards with our Trig Ratios. When given two sides of a right triangle we can find an angle by using our (INVERSE) Trig Ratios (SOHCAHTOA)

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Reflecting back on our previous work with right triangles and trigonometric ratios, what is the measure of

?

m

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Explain how you determined the measure of
.

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Let's solve this same problem using the inverse functions on our calculators.

Steps for Finding a missing angle of a right triangle when given two side lengths.

Step 1. Label the three sides of the right triangle (hypotenuse, oppositer, adjacent) with respect to the angle you ar solving for.

Step 2. Based off the names (hyp, opp, adj) determine which ratio to use (SOHCAHTOA) and substitute those two side lengths into the SIN/COS/TAN equation.

Step 3: Solve the equation. Need to use the INVERSE function on your calculator (
). Since you are solving for an angle measure, and the angle is "attached" to the trig ratio, you need to perform the INVERSE to "undo"/ isolate the angle.

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Round to nearest tenth of a degree

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Round to nearest tenth of a degree

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Round to nearest tenth of a degree

1

Round to nearest tenth of a degree

1

Round to nearest tenth of a degree

1

Angle of depression =

Round to nearest tenth of a degree

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Angle of Elevation =

Round to nearest tenth of a degree

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m

Round to nearest degree

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m

Round to nearest tenth of a degree

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m

Round to nearest degree

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m

Round to nearest degree

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Angle of elevation of the sun =

Round to nearest degree

Lesson 3 - Finding Missing Angles of Right Triangles

Lesson 3 - Finding Missing Angles of Right Triangles

Lesson 3 - Finding Missing Angles of Right Triangles

Today we will be working backwards with our Trig Ratios. When given two sides of a right triangle we can find an angle by using our (INVERSE) Trig Ratios (SOHCAHTOA)

Explain how you determined the measure of .

Let's solve this same problem using the inverse functions on our calculators.

Steps for Finding a missing angle of a right triangle when given two side lengths.

Step 1. Label the three sides of the right triangle (hypotenuse, oppositer, adjacent) with respect to the angle you ar solving for.

Step 2. Based off the names (hyp, opp, adj) determine which ratio to use (SOHCAHTOA) and substitute those two side lengths into the SIN/COS/TAN equation.

Step 3: Solve the equation. Need to use the INVERSE function on your calculator (). Since you are solving for an angle measure, and the angle is "attached" to the trig ratio, you need to perform the INVERSE to "undo"/ isolate the angle.

Lesson 3 - Finding Missing Angles of Right Triangles

Today we will be working backwards with our Trig Ratios. When given two sides of a right triangle we can find an angle by using our (INVERSE) Trig Ratios (SOHCAHTOA)

Explain how you determined the measure of .

Let's solve this same problem using the inverse functions on our calculators.

Steps for Finding a missing angle of a right triangle when given two side lengths.

Step 1. Label the three sides of the right triangle (hypotenuse, oppositer, adjacent) with respect to the angle you ar solving for.

Step 2. Based off the names (hyp, opp, adj) determine which ratio to use (SOHCAHTOA) and substitute those two side lengths into the SIN/COS/TAN equation.

Step 3: Solve the equation. Need to use the INVERSE function on your calculator (). Since you are solving for an angle measure, and the angle is "attached" to the trig ratio, you need to perform the INVERSE to "undo"/ isolate the angle.

Explain how you determined the measure of
.

Step 3: Solve the equation. Need to use the INVERSE function on your calculator (
). Since you are solving for an angle measure, and the angle is "attached" to the trig ratio, you need to perform the INVERSE to "undo"/ isolate the angle.

Explain how you determined the measure of
.

Step 3: Solve the equation. Need to use the INVERSE function on your calculator (
). Since you are solving for an angle measure, and the angle is "attached" to the trig ratio, you need to perform the INVERSE to "undo"/ isolate the angle.