Use the Law of Cosines to solve the triangle. Round your answers to two decimal places. O A= B= C= O O A b=14 c=22 C a=12 B
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- A steel forging is in the shape of a frustum of a regular pyramid. It has a larger base area of 58.30 square inches and a smaller base area of 40.0 square inches. The height is 5.10 inches. Find the weight of the forging. The steel weighs 490.3 pounds per cubic foot. Round the answer to the nearest tenth pound.When the Radius Increases a. A rope is wrapped tightly around a wheel with radius of 2 feet. If the radius of the wheel is increased by 1 foot to a radius 3 feet, by how much must the rope be lengthened to fit around the wheel? b. Consider a rope wrapped around the Earths equator. We noted in Exercise 17 that the radius of the Earth is about 4000 miles. That is 21,120,000 feet. Suppose now that rope is to be suspended exactly 1 foot above the equator. By how much must the rope be lengthened to accomplish this? The Size of the Earth The radius of the Earth is approximately 4000 miles. a. How far is it around the equator? Hint: You are looking for the circumference of a circle b. What is the volume of the Earth? Hint: The volume of a sphere of radius r is given by 43r3. b. What is the surface area of the Earth? Hint: The surface area of a sphere of radius r is given by 4r2.An artist wants to make a small monument in the shape of a square base topped by a right triangle, as shown below. The square base will be adjacent to one leg of the triangle. The other leg of the triangle will measure 2 feet and the hypotenuse will be 5 feet. (a) Use the Pythagorean Theorem to find the length of a side of the square base. Round your answer to the nearest tenth of a foot. (b) Find the exact area of the face of the square base.
- The Turners want to install outdoor carpet around their rectangular pool. The dimensions for the rectangular area formed by the pool and its walkway are 20 ft by 30 ft. The pool is 12 ft by 24 ft. aHow many square feet need to be covered? bApproximately how many square yards does the area in part a represent? cIf the carpet costs 12.95 per square yard, what will be the cost of the carpet?What steps would I take to solve the problem below? Assignment: You wish to cross the 11 m x 10 m courtyard without being detected by the two guards and escape through a door located on the western wall. Guard 1 is located in a tower at the northeast corner of the yard and Guard 2 is located in the yard, in the southwest corner, as shown in the figure below. Guard 1 can hear you if anything more than 1/36 (one thirty sixth) of the footstep sound energy reaches them; similarly, Guard 2 can hear you if anything more than 1/16 (one-sixteenth) of the footstep sound energy reaches them (Guard 1 can hear more due to his elevated height in the tower). Assume for now that both guards are fixed at these locations and cannot move unless they detect you. Based on this information, answer the following questions. Determine, if it exists, the safe distance between the two hearing zones of the guards for you to pass through undetected? ExampleIn Stealth Fighter 6 imagine you had to sneak across a…To estimate the height of a stone figure, Anya holds a small square up to her eyes and walks backwards from the figure. She stops when the bottom of the figure aligns with the bottom edge of the square and the top of the figure aligns with the top edge of the square. Her eye level is 1.84 m from the ground. She is 3.50 m from the figure. What is the height of the figure to the nearest hundredth of a meter?
- Solve the following problem. Be sure to make a diagram of the situation with all the given information labeled.An equilateral triangle (one with all sides the same length) has an altitude of 16.8 inches. Find the length of the sides. (Round your answer to one decimal place.)at 2:35pm Fari sees an airplane directly overhead. At 2:38pm he estimates that the angle of elevation to the plane is 15 degrees. the plane is moving at 110m per second. how high above the ground is the plane? solve using right triangle laws, etc.You decided the visit a Roman amphitheatre with your friend. The amphitheater is shaped like semi elliptical arch and it is designed so that if two people talk to each other, then the audibility of their conversation will be heard best if they are in the focus of this arch. The amphitheater has a height of 30 feet and a width of 100 feet. If you would like to test it, how far away from each other should you stand?
- thank you for your previous answer, can you please also help me with the 2nd problem so I can have a comparison? Thank you. :) explain in your own words. Clearly explain what the problem is AND how to solve it. You will need to research/Google the problem first. Your explanation can be in writing, via drawings/illustrations, a short video or audio clip, etc. You can be creative in how you choose to explain the problem! Be sure to keep videos/audio clips 3-6minutes, and be professional. https://youtu.be/IXBxuBzSxH8 B. "The Monty Hall Problem." “Suppose you’re on a game show, and you’re given the choice of three doors: Behind one door is a car; behind the others, goats. You pick a door, say No. 1, and the host, who knows what’s behind the doors, opens another door, say No. 3, which has a goat. He then says to you, ‘Do you want to pick door No. 2.?’ Is it to your advantage to switch your choice?”Krystal, a marine biologist, needs to test the water at different points in a lake. She walks 800 feet from her parked car to a sign which says that the lighthouse on the far side of the lake is 2400 feet away. She plans to take her boat across the width of the lake, in order to sample different spots of the water. In order to ensure her boat can reach the other side without running out of fuel, she sets up the corresponding model below. If her boat can travel 5000 feet for each gallon of gas, how much gas will she need to have to travel across the lake and back?1) choose two numbers to represent the length of the legs of a right triangle. Assign one of these values to a and the other to b. 2) use the Pythagorean Theroem to solve for the value of the hypotenuse, c 3) Label your right triangle, so that the angle opposite side a is angle A. The angle opposite side b is angle B. The angle opposite the hypotenuse is angle C but should also be your right triangle. Attach a picture of your triangle. 4) now find the exact values of the six trigonometric functions of angle A.