Word Problems Using Right Triangle Trig Draw pictures! Make all answers accurate to the nearest tenth. 1. A damsel is in distress and is being held captive in a tower. Her knight in shining armor is on the ground below with a ladder. When the knight stands 15 feet from the base of the tower and looks up at his precious damsel, the angle ofRight Triangle Applications I. UNIT OVERVIEW& PURPOSE: The unit will be covering properties of right triangles, Pythagorean Theorem, Converse of Pythagorean Theorem, special right triangles, and Trigonometry of right triangles. Pythagorean Theorem is covered in Standards for Algebra 1, Algebra 2, and Geometry. right triangle application problems pdf
Problem A tiny but horrible alien is standing at the top of the Eiffel Tower (which is 3 2 4 324 3 2 4 324 meters tall) and threatening to destroy the city of Paris! A Men In Black agent is standing at ground level, 5 4 54 5 4 54 meters across the Eiffel square, aiming his laser gun at the alien.
AC GeoAdv. Alg Unit 1 Worksheet 11 Name Steps to solving trig word problems 1. Draw a picture. (Right triangle) 2. Label the given parts. 3. Set up the trig ratios and solve. Ex1) Find the angle of elevation if you are standing Instructions: With each problem, draw a diagram and completely label all necessary pieces. Establish a righttriangle trigonometric relationship. Give the exact algebraic solution in terms of the given information, then give a numerical approximation. Example 1. (i) A 15 ft ladder leans against a wall at an angle of elevation of 60.right triangle application problems pdf 255 Compiled and Solved Problems in Geometry and Trigonometry 1 FLORENTIN SMARANDACHE 255 Compiled and Solved Problems Of triangles with and, and being given numbers, find a triangle with maximum area. Solution to Problem 15.
In this lesson we will return to right triangle trigonometry. Many real situations involve right triangles. In your previous study of geometry you may have used right triangles to solve problems involving distances, using the Pythagorean Theorem. right triangle application problems pdf 5 n2K001 q2j RKZuzt ta Y DSJo sfdt 2w3aWr1ef YLzLECu. 7 u 5A vlklw crbi gXhKtXsB grnezsfedrWvde5dM. z v GMmaYdte 2 OwuiAt0h q vI5nAf 2i4nCiFt2e m PAhlQgBeub hrOaz 62 e. e Worksheet by Kuta Software LLC Trigonometry Word Problems opposite adjacent 400 3258 feet. 1228 Angle 1: Angle of elevation from man to the plane Angle 2: Angle of depression from man to animal Angle 3: Angle ofelevation from animal to man Angle 4: Angle of depression from plane to man Example: A blimp hovers 400 feet above a stadium. A fan is standing outside the Right Triangle Applications Problems Solved. 1. A 16 foot ladder is leaning against a house. It touches the bottom of a window that is 12 feet 6 inches above the ground. What is the measure of the angle that the ladder forms with the ground?