# 12 2 word problem practice angles and angle measure Angle of Elevation/Angle of Depression Problems

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Standards in this domain: CCSS. Within a single system of measurement, express measurements in a larger unit in terms of a smaller unit. Record measurement equivalents in a two-column table. For example, know that 1 ft is 12 times as long as 1 in. Express the length of a 4 ft snake as 48 in. Generate a conversion table for feet and inches listing the number pairs 1, 12 , 2, 24 , 3, 36 ,

A protractor is required to directly calculate the measure of an angle, but you can use geometric properties of triangles to make an indirect measure of the angle. Use the sine formula to infer the measure of the angle from the distance between two points along the angle's lines a certain distance from the angle's origin. Use the ruler to measure a specific distance along both sides of the angle from the angle's origin the same distance along both sides , and label this distance "d. Use the ruler to measure the exact distance between the two points on the angle. Label this distance "e. This formula is derived from the equation for the sine given the measures of a right triangle's sides: The sine of the angle is equal to the length of the side opposite the angle divided by the length of the triangle's hypotenuse. Use your graphing calculator to solve for the angle measure.

Here is a graphic preview for all of the Angles Worksheets. You can select different variables to customize these Angles Worksheets for your needs. The Angles Worksheets are randomly created and will never repeat so you have an endless supply of quality Angles Worksheets to use in the classroom or at home. We have classifying and naming angles, reading protractors and measuring angles, finding complementary, supplementary, verical, alternate, corresponding angles and much more. Our Angles Worksheets are free to download, easy to use, and very flexible. Click here for a Detailed Description of all the Angles Worksheets.

In the previous section, we found the first-circle angle equivalents for given angle measures. Another thing we can do with angle measures, even those whose measures are in the first go-around, is to find what is called the "reference" angle. The reference angle is the angle that the given angle makes with the x -axis. Regardless of where the angle ends that is, regardless of the location of the terminal side of the angle , the reference angle measures the closest distance of that terminal side to the x -axis. Let's get started with an easy example.

## Reference Angles

Well, radian measure is just a different way of talking about the circle. - There are two new vocabulary terms that may appear in application problems. You can think of the angle of depression in relation to the movement of your eyes.

## Grade 4 � Measurement & Data

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1. Hydtorrpurna1998 says: