IV. Determine the if the pair of angles given is coterminal or not. 17. 80° and – 440° 19. 3T/4 and ~1Or 20. 7 and -3 18. 210° and – 520° V. Determine the smallest nocitivo
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answer nunber 17 ,18,19,20 no need solutions.
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- 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.An Air Force pilot making a preliminary aerial survey, first observed that when he flew directly over a straight road connecting two coastal towns X and Y, the angles made by these towns with the vertical were 30° and 60°, respectively. When he flew back directly over the same road for the second observation, his altimeter indicted that he was 1100 meters higher and noted that both towns made an angle of 45° with the vertical. a. What is the distance between the towns, in kilometers.b. How high is the airplane when the first observation was made?c.From the top of a 45-m high building, an observer sees a car heading toward the building at an angle of depression of 15°. After some time, the angle of elevation to the car is 30°. What is the distance that the car has travelled? Express your answer to the nearest meter.
- 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.A projectile is fired with muzzle speed 150 m/s and angle of elevation 45ofrom a position 10 m above ground level. Where does the projectile hit the ground, and with what speed?3. A city engineer plans to build a footbridge across a lake from point X to point Y. She measures the distance from X to Z as 800 feet and from Y to Z as 1,000 feet. Assuming there is a right angle at X, how long will the bridge be?
- Name a point, and identify its coordinates, that is between 20 and 30 units away from point K (3,10)?From Point S, Samantha uses a clinometer to determine the angle of elevation to the top of the cliff as 35°. Hasan standing at point H, is 65 m away from Samantha and estimates the angle between the base of the cliff, himself and Samantha to be 53°. Samantha estimates the angle between the base of the cliff, herself and her classmate Hasan to be 45°. What is the height of the cliff, TB, to the nearest metre?1. Jim is looking at the roof of a new house from the front. He notices that the roof is triangular in shape with a base 13.6 m. The left side is 8.0 m long and makes an angle of 70 degrees with the base of the roof. If this is the only known information, determine the angle the right side of the roof makes with the base of the roof to the nearest degree. Be sure to first make a sketch.
- 1.Brian’s kite is flying above a field at the end of 65 m of string. If the angle of elevation to the kite measures 70°, how high is the kite above Brian’s head? 2. From an airplane at an altitude of 1200 m, the angle of depression to a building on the ground measures 28°. Find the distance from the plane to the building.A balloon is flying at the end of a 170-m length of string, which is anchored to the ground. The angle of inclination of the string is 50. Calculate the height of the balloon relative to the ground, to the nearest metre.In order to estimate the height of a building, two students stand at a certain distance from thebuilding at street level. From this point, they find the angle of elevation from the street to the topof the building to be 38˚. They then move 200 feet closer to the building and find the angle ofelevation to be 50˚. Assuming the street is level, estimate the height of the building. Round thefinal answer two decimal places.