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Right Triangle Trigonometry Word Problems . 1. From the top of a lighthouse 160 feet above sea level, the angle of depression to a boat at sea is 25 degrees. To the nearest foot, what is the horizontal distance from the boat to the base of the lighthouse? 2. A ski slope at a mountain has an angle of elevation of 25.2 degrees.
To solve a problem involving two right triangles using trigonometry, • draw and label a diagram showing the given information, and the length or angle measure to be found • identify the two triangles that can be used to solve the problem, and plan how to use each triangle
Trigonometry Word Problems Applications of Right Triangles and Trig Functions Includes angle of elevation and depression, examples, step-by-step solutions, and more…
Establish a right-triangle trigonometric relationship. Give the exact algebraic solution in terms of the given information, then give a numerical approximation.
Solve each problem. Round to the nearest hundredth. 1.) A tower casts a shadow that is 60 feet long when the angle of elevation of the sun is 65˚. How tall is the tower? 2.) Matt is standing on top of a cliff 305 feet above a lake. The measurement of the angle of depression to a boat on the lake is 42˚. How far is the boat from the base of ...
Solving Right Angled Triangles - word problems Exercises 1.Solve the right triangle ABC if \A = 36 and side c = 10cm. 2.Two trees stand opposite one another at points A and B, on opposite banks of a river. The distance AC along one bank is perpendicular to BA and is measured to be 100ft. Angle ACB is measured to be 79 . How far apart are the trees?
Use trig ratios and your graphing calculator to approximate each length and angle measure to the nearest tenth (these are all RIGHT triangles). 26. For each problem, draw a picture/diagram showing the right triangle. Then write a trig ratio equation, and solve the equation to answer the problem.