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July 9, 2024, 12:30 am
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24 ft C. 37 ft D. 49 ft Madison looks out her second-floor window, which is 15 feet above the ground. JL – KL ≈ –, or about 8 meters. Then/Now You used similar triangles to measure distances indirectly. The distance between the dolphins is JK or JL – KL. Vocabulary angle of elevation angle of depression. Use angles of elevation and depression to find the distance between two objects.

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Example 1 Angle of Elevation Since QR is 25 feet and RS is 5 feet 6 inches or 5. Vernon's position is 154 meters above sea level, and the angles of depression to the two dolphins are 35° and 36°. How far is the audience member from the base of the platform, if the angle of elevation from the audience member's line of sight to the top of the acrobat is 27°? 35° C. 40° D. 50° DIVING At a diving competition, a 6-foot-tall diver stands atop the 32-foot platform. Use the right triangles to find these two lengths. C = 52°; AD = 40, and DC = x Multiply each side by x. 20 ft C. 44 ft D. 8 4 practice a angles of elevation and depression practice quizlet. 58 ft Luisa is in a hot air balloon 30 feet above the ground. Answer & Explanation. What is the horizontal distance between the hot air balloon and the landing spot to the nearest foot? Divide each side by tan. A camera is set up at the opposite end of the pool even with the pool's edge.

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Find the distance between the two cars to the nearest foot. 583/ 1-11, 32-38, 45-48. Divide each side by tan Use a calculator. 8 4 practice a angles of elevation and depression.com. Since are parallel, m BAC = m ACD by the Alternate Interior Angles Theorem. One car is parked along the curb directly in front of her window and the other car is parked directly across the street from the first car. Mathematical Practices 4 Model with mathematics. Thus, and because they are alternate interior angles. Follow along with Jacob and his family on their summer road trip! Round to the nearest tenth.

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B. C. D. CCSS Content Standards Use trigonometric ratios and the Pythagorean Theorem to solve right triangles in applied problems. A 5-foot-6-inch tall acrobat is standing on a platform that is 25 feet off the ground. 8 4 practice a angles of elevation and depression pdf. PlanBecause are horizontal lines, they are parallel. This project is a great follow-up to many topics of geometry, including:Volume: Cones, pyramids, and cylindersCircles: Central arcs, inscribed angles, and segment len. Example 3 Use Two Angles of Elevation or Depression UnderstandΔMLK and ΔMLJ are right triangles. Example 1 Angle of Elevation CIRCUS ACTS At the circus, a person in the audience at ground level watches the high-wire routine.

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Make a sketch of the situation. Example 2 Angle of Depression Let x represent the horizontal distance from the seal to the cliff, DC. She observes two parked cars. If the cliff is 40 feet above the water and the angle of depression is 52°, what is the horizontal distance from the seal to the cliff, to the nearest foot? Example 2 Angle of Depression DISTANCE Maria is at the top of a cliff and sees a seal in the water. Over Lesson 8–4 5-Minute Check 5 A.

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Get answers and explanations from our Expert Tutors, in as fast as 20 minutes. Example 3 Use Two Angles of Elevation or Depression DISTANCE Vernon is on the top deck of a cruise ship and observes two dolphins following each other directly away from the ship in a straight line. She sees the landing spot at an angle of depression of 34. Multiply both sides by x. Divide both sides by tan Simplify. The pool itself is 50 feet in length. Example 3 Use Two Angles of Elevation or Depression Multiply each side by JL. It can also be broken up into the individuals tasks, to give as an end of unit assessment activity for each topic. Example 3 Use Two Angles of Elevation or Depression Answer: The distance between the dolphins is JK – KL. If the camera is angled so that its line of sight extends to the top of the diver's head, what is the camera's angle of elevation to the nearest degree? Lesson Menu Five-Minute Check (over Lesson 8–4) CCSS Then/Now New Vocabulary Example 1:Angle of Elevation Example 2:Angle of Depression Example 3:Use Two Angles of Elevation or Depression.

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Multiply each side by KL. The angles of depression of Madison's line of sight to the cars are 17° and 31°. This project is a great end-of-the-year activity for your high school geometry students, as it reviews many topics that are taught throughout the year. Example 2 Angle of Depression Answer: The seal is about 31 feet from the cliff.

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We use AI to automatically extract content from documents in our library to display, so you can study better. Stuck on something else? Over Lesson 8–4 5-Minute Check 6 Use a special right triangle to express sin 45° as a fraction. The front edge of the platform projects 5 feet beyond the ends of the pool. 1 Make sense of problems and persevere in solving them.

4 D Find m B to the nearest tenth of a degree if cos B = and B is an acute angle. Solve problems involving angles of elevation and depression. Example 1 Angle of Elevation Answer: The audience member is about 60 feet from the base of the platform.

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