You need to draw the diagrams for each of the following questions and submit them in class on Monday March 9th.
1. A bird is standing on the ground, 5 metres away from a tree, which is seven metres tall. The bird wants to build a nest at the top of the tree, what is the shortest distance the bird must fly to get from its point on the ground to the top of the tree?
2. Your friend climbs up a flight of stairs, travelling 10 metres diagonally, when she gets to the top of the stairs she accidentally kicks over your cell phone which you left charging. To make sure your phone isn’t damaged, you need to calculate how far it fell from the top of the stairs straight down to the floor, and you know the stairs are at an angle of 53 degrees.
3. You are 6 metres away from a target with a canon that rests on the ground. The target is 5m off the ground. What angle would the canon need to be at to hit the target?
4. A friend is sleeping on the street across the road from your building, and you are standing on the balcony of the 5th floor. The road is 20m wide, and each floor is 5m high. What angle would your friend need to look up to see you if you called to him?
5. The same friend from question 4 also happens to make very good paper planes, and writes a note in one and sends it to you. How far does the plane have to travel to get to you if it flies straight from him to you?
6. A projector sits on a stand 1 metre high, and is 8 metres away from the screen. If the top of the image is projected at an angle of 45 degrees from the projector, how high does the screen need to be?
7. You are 15 metres away from your friend, who is standing next to a wall. You know your friend is 1.1 metres tall, and he is the same height as the wall, but on top of that wall is a flag pole. You only know that from the ground where you stand to the top of the flagpole is elevated 30 degrees, how high is the flagpole itself?
8. A boat is tied to a pier using 10 metres of rope between the boat and pier. The point on the pier where the rope is tied to the top of the boat gives an angle of 20 degrees. If the pier itself is 2 metres above the water, how much of the boat is above water?
9. A pulley is used to lift a bucket from one end of a construction site to another, across a 15 metre gap. At each end of the gap there are poles, with a rope to carry the bucket. The first pole is 5 metres high, and the second is 10 metres high. What is the actual distance the bucket travels between the two poles along the rope?
10. The engineers moving the bucket in question 9 want to ensure that it is being done as efficiently as possible, and want to know what angle the bucket is ascending with. What is that angle?
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so dis means we hada do dis on paper and hand it in.... we not doin dis on d blog????
ReplyDeletejus the diagrams!!
ReplyDeleteThis comment has been removed by the author.
ReplyDeleteWe doing it on paper
ReplyDeleteyea
ReplyDeleteHere are two challenging questions. Its all about your diagram!
ReplyDeleteQ1.
When the top T of a mountain is viewed from point A, 2000 m from ground, the angle of depression a is equal to 15o and when it is viewed from point B on the ground the angle of elevation b is equal to 10o. If points A and B are on the same vertical line, find the height h of the mountain.
Q2.
An airplane is approaching point A along a straight line and at a constant altitude h. At 10:00 am, the angle of elevation of the airplane is 20o and at 10:01 it is 60o. What is the altitude h of the airplane if the speed of the airplane is constant and equal to 600 miles/hour?
Question??
ReplyDeleteFrom point A, an observer notes that the angle of elevation of the top of a tower (C,D) is a (degrees) and from point B the angle of elevation is b (degrees). Points A, B and C (the bottom of the tower) are collinear. The distance between A and B is d. Find the height h of the tower in terms of d and angles a and b.