ABCD is a rectangle. Answer th
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- A basketball gymnasium is 40 metres high, 90 metres wide and 210 metres long. For a half time stunt, the cheerleaders want to run two strings, one from each of the two corners above the basket to the diagonally opposite corners of the gym floor. What is the cosine of the angle made by the strings as they cross?Suppose you wnat to install a vertical TV tower on the side of a hill which makes a 25 degree angle with the horizon. The tower is 75 meters high, and guy wires are to be attached two-thirds of the way up the tower. If the guy wires are anchored 30 meters up the hill and 35 meters down the hill from the bottom of the tower, find the length of the guy wires.The length and diameter of a spaceship as determined by an astronaut on board are 76m and 23 m,respectively. The spaceship moves 0.7c relative to Earth in a direction parallel to its length. What are its dimensions measured by an observer on Earth?
- A student is standing on a 27 m diving platform from the ground. On the ground, their coach ison their left and their classmates on their right. The coach looks up to the student at an angle of 45 degrees with theground, while their classmates are looking at the student at an angle of 30 degrees with the ground. If the angle at thebase of the platform, between the coach and classmates is 150 degrees, what is the exact distance between the coach and the classmates?Jose is sitting in a tree, so that his eyes are 3.2 m above the ground. When he looks down at an angle of depression of 42°,he can see his cat sitting in the yard. What is the horizontal distance from the base of the tree to Jose's cat?4. In the Residential Infrastructure area, buildings are planned with a height of 30 meters. Calculate the angle of depression someone would make from the top of a building to the water fountain on the ground 20 meters away from the building. (3 marks) 5. In the Commercial Zones, a square courtyard is designed with sides of 45 meters. Calculate the length of the shadow cast by a structure in the courtyard when the sun is at an angle of 30 degrees from the ground.
- A thin triangular-shaped iron plate is accidentally dropped into a hemispherical tank, which is 10 ft. deep and full of water. It is noticf that the iron triangle is lying parallel to the surface of the water, so it is proposed to retrieve the triangle by lowering a powerful magnet into the tank at the end of a rope. What is the minimum length of rope needed if the shortest side of the triangle is 10 ft. long and the angles of the triangle are 45,60, and 75 degrees?Solve for side Y for triangle XYZ X=85°, Z=46°,x=19a boat travels towards the northeast at 23 knots and there is an 8 knot crosswind out of the southeast affecting the boat convert the boats motion (not the crosswind) into rectangular coordinates
- Two ships leave a port at the same time. The first ship sales on a bearing of 520 at 17 knots and the second on a bearing of 3220 at 22 knots. How far apart are they after 1.5 hours?A farmer has 8 km of fencing wire, and wishes to fence a rectangular piece of land. One boundary of the land is the bank of a straight river. What are the dimensions of the rect- angle so that the area is maximised?How would I find the value for a and b for this right triangle?
