point C on land such than ZCAB = 44.2°. Find the distance across the lake from A to B. В 506 ft 44.2° C 355 ft NOTE: The triangle is NOT drawn to scale. distance ft
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- Draw a triangle with three acute angles. Construct angle bisectors for each of the three angles. On the basis of the appearance of your construction, what seems to be true?From the top of the tower 30 m height, a man is observing the base of a tree at an angle of depression measuring 35°. Find the distance between the tree and the tower. (With illustrations, given, solutions and conclusion).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?
- Two observation towers A and B are standing vertically on a horizontal ground. From the top of tower A, the angle of elevation of the top of tower B is 12degrees, and the angle of depression of the base of tower B is 48degrees. If tower B is 32 m high, find the height of tower A and the distance between the two towers.To approximate the length of a marsh, a surveyor walks x=420 meters from point A to point B, then turns 75 degrees and walks 220 meters to point C. Approximate the length AC of the marsh4. In order to reach the top of a hill which is 250 feet high, one must travel 1900 feet straight up a road which leads to the top. Find the number of degrees contained in the angle which the road makes with the horizontal.
- A certain rock rises almost straight upward from the valley floor. From one point, the angle of elevation of the top of the rock is 18.4 degrees. From a point 165 m closer to the rock, the angle of elevation of the top of the rock is 25.1 degrees . How high is the rock?The angle of elevation of the top of the building at a distance of 54 m from its foot on a horizontal plane is found to be 60°. Find the height of the building. (With illustrations, given, solutions and conclusion).8 The Statue of Liberty is 305.5 feet high. When the angle of elevation of the sun is 50, what is the distance to the tip of the shadow from a point at water level and directly below the highest point of the statue? 364 ft. 256 ft. 399 ft.
- The angle of elevation of the top of a tower from a point A is 55degrees30’. From another point B, the angle of elevation of the top of the tower is 23degrees30’, which is directly west of A. The points A and B are 117.45 m apart and on the same horizontal plane as the foot of the tower. Find the height of the tower.How do we measure the distance between two points, A and B, on Earth? We measure along a circle with a center, C, at the center of Earth. The radius of the circle is equal to the distance from C to the surface. Use the fact that Earth is a sphere of radius equal to approximately 4000 miles to solve : If two points, A and B, are 8000 miles apart, express angle θ, in radians and in degrees.An antenna has 4 guy-wires connected to the top of the antenna, and each guy-wire is anchored to the ground. A side-view of this scenario is shown. One of the guy-wires forms an angle of α=17.76 degrees with the antenna and the opposing guy-wire forms an angle of β=22.92 degrees with the antenna. Anchor 1 is 57 feet from the base of the antenna. How tall is the antenna? What is the distance between anchor 2 and the base of the antenna? (Hint: you will need to use your answer to part (a).)