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Right Triangle Trigonometry ReviewIf the sine of 40? = 0.6428, what is the cosine of 50??Solve the right triangle below. Round sides to the nearest thousandth and angles to the nearest degree.A 10-foot ladder is placed against a wall. The ladder is at an angle of 68? to the level ground. About how far up the wall will the top of the ladder reach?A landscape photographer in a helicopter is taking pictures of a waterfall that is 150 meters tall. The helicopter is hovering 70 meters away from the waterfall and is level with the waterfall’s tallest point. The photographer is focusing her camera on a point halfway down the waterfall. Approximate the angle of depression of the camera lens.You see a hiker sitting on a bench taking a water break at the top of a hill at a 55? angle of elevation. Your eye level is 6 feet off the ground and you are standing 100 meters from the base of the hill. At what altitude is the hiker sitting on the bench? A right triangle has one leg that measures 11 feet and another that measures 15 feet. Use sine, cosine, and/or tangent to find the measures of its acute angles.The triangle below is equilateral. Calculate the cosecant, secant, and cotangent of ∠Z .The height of a building is 70 meters. To the nearest degree, what is the angle of elevation of the sun when the building casts a shadow that is 65 meters long? A weather station receives an alert from a weather balloon. The balloon is 12 kilometers away and the angle of depression of the balloon to the weather station is 48?. If the balloon travels vertically down to level ground, how far will the balloon be from the weather station? A naval ship is stationed in calm waters. The sonar detects a submarine at a depth of about 500 meters and a horizontal distance of 700 meters. What is the distance between the ship and the submarine? What is the angle of elevation of the submarine?A fishing diver descends 30 meters to the ocean floor to secure a section of rope to the anchor directly below. She swims across the ocean floor west of the anchor and attaches the second section of rope so that the length of rope is stretched 60 meters. How far did the diver swim? What is the angle of depression from the boat to the place where the second rope is attached? You are standing 25 feet away from the base of a tree when you discover there are two kittens stuck at different levels on the tree’s branches. You approximate that the angle of elevation to the first kitten is 35? and the angle of elevation to the second kitten is 40?. Your eye level is 6 feet off of the ground. To the nearest foot, what is the distance between both kittens? Justify your answer.A ramp is attached to a loading dock and makes a 28? angle with the ground. If the loading dock is 6 meters high, how long is the ramp? Round your answer to the nearest tenth. Use the following information to answer questions 14 & 15. A bluebird on a 40-meter-tall flagpole spots a worm on the ground below at an angle of depression of 35?. What equation can be written to determine the distance of the worm from the base of the flagpole? How far away from the base of the flagpole is the worm?ΔABC is a right triangle.What is the measure of line segment AC? What is the measure of ∠A? What is the measure of ∠C? ................
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