3. Solve the following word problem for the angle x. Find x, the angle of depression from the top of a lighthouse that is 188 ft above water level to the waterline of a ship 869 ft off shore. Round your answer to the nearest tenth of a degree. 869 ft х 188 ft Delete the following guidelines when you are finished. [Indicate your response here. Be sure to show all of your work and explain each step, as necessary. Remember to address each of the critical elements of the prompt: Articulate your overall approach to solving this problem before tackling the details. In other words, think about what the question is actually asking, which pieces of information are relevant, and how you can use what you have learned to fill in the missing pieces. Apply the mathematical process to solve the problem: o Interpret the word problem to identify any missing information. Translate the word problem into an equation. o Appropriately use the order of operations and law of sines and cosines to determine the solution. o Check your work by ensuring that the known properties of triangles are met. Summarize the solution in the terms of the original question using appropriate conventions of precalculus.]

The following problem is based on the Parallelogram Law. In the scaled drawing, each unit corresponds to 50 mph. A small airplane travels due east at 250 mph. The wind is blowing at 50 mph in the direction due north. Using the indicated diagonal and use it to determine the speed of the airplane in miles per hour.

Refer to the following figure in answering Exercises 7 through 13. It may be helpful to sketch figures.When side x= side y. a. What is the value of 1 ? b. What is the value of the tangent function? c. What is the value of the cotangent function?

Albert lives in New Orleans. At noon on a summer day, the angle of elevation of the sun is 84. The window in Alberts room is 4.0 feet high and 6.5 feet wide. (Sec Figure 24.) a. Calculate the area of the floor surface in Alberts room that is illuminated by the sun when the angle of elevation of the sun is 84. b. One winter day the angle of elevation of the sun outside Alberts window is 37. Will the illuminated area of the floor in Alberts room be greater on the summer day, or on the winter day? Figure 24