Core ResourcesStrategiesAdditional Instruction and Practice Advanced Work Get MoreOnline Resources 

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Strategies: Advanced WorkThe following activities are suggestions for working with students who are ready for advanced work. We hope that the activities spark ideas and conversations among teachers about useful classroom strategies that can supplement existing curriculum. Angle of inclinationSince students have learned about right triangle trigonometry, they may wonder whether, given the side lengths of a right triangle, they can find the measures of the angles that are nonright. This would be a good opportunity to teach them about the inverse trigonometric functions, whose output is an angle measure. Problem Helene is 5 feet tall and is standing 15 feet away from a tree that she knows is 45 feet high. What is the approximate angle of her line of sight to the horizon? Provide mathematical support for your solution. MethodWe need to find the measure of angle A. Since we can calculate the side opposite angle A and know the side adjacent to angle A, we can use the tangent function to set up the following equation: . Since we need to find the angle, we should use the inverse tangent function: 69°. AnswerThe angle of Helene's line of sight to the horizon is about 69°. ExtensionHave students create right triangles on paper. Have them measure the side lengths and use the inverse trigonometric functions to predict the angle measures. They can verify their answers using a protractor. 

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