Right Triangle Word Problems - Grade 11 Math
Solve real-world problems using trigonometry and right triangles.
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Right Triangle Word Problems
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Read each word problem carefully and draw a diagram to represent the situation. Use trigonometric ratios (sine, cosine, tangent) to solve for the unknown values. Round your answers to two decimal places.
1. A ladder leaning against a wall makes an angle of 65° with the ground. If the base of the ladder is 3 meters from the wall, how long is the ladder?
2. An airplane is flying at an altitude of 5000 feet. The pilot spots a landmark on the ground at an angle of depression of 25°. What is the horizontal distance from the airplane to the landmark?
3. A ship sails 10 km due east and then 7 km due north. What is the shortest distance from its starting point to its current position?
4. From a point 50 meters away from the base of a tree, the angle of elevation to the top of the tree is 40°. What is the height of the tree?