# Lesson 3 More “Sine” Language Solidify Understanding

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The circle has been divided into equal portions. Explain the meaning of each number in the equation

In NC Math 2, we learned how to find the arc length of a portion of a circle when we are given the measure of the intercepted arc in degrees and the radius of the circle. We can find the fraction of the circle using

Use the information in each drawing to find the length of the intercepted arc on the circle.

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A right triangle has been drawn from a point on a circle centered at

Write the value of sine

as defined in today’s lesson. (You will need to find the radius.) Use right angle trig to solve for angle

inside the triangle. Use the measure of

to find (the angle of rotation).

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Describe the angles of rotation that make the

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What do you notice about the

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In the graph shown, the radius of the circle is

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Make a sketch of the following problems, then solve.

### 13.

A kite is aloft at the end of a

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Sketch.

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How far above the ground is the kite? (Round your answer to the nearest whole number.)

### 14.

A ladder leans against a building. The top of the ladder reaches a point on the building that is

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Sketch.

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Find to the nearest degree the measure of the angle that the ladder makes with the level ground.

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The shadow of a flagpole is

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Sketch.

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Find the height of the flagpole.

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The angle of depression from the top of a building to a car parked in the parking lot is

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Sketch.

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How far from the top of the building is the car on the ground?