Mathematical Practices 4 Model with mathematics. 4 D Find m B to the nearest tenth of a degree if cos B = and B is an acute angle. Example 3 Use Two Angles of Elevation or Depression Answer: The distance between the dolphins is JK – KL. Example 3 Use Two Angles of Elevation or Depression Multiply each side by JL. 8 4 practice a angles of elevation and depression 10 4. 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 1 Angle of Elevation Since QR is 25 feet and RS is 5 feet 6 inches or 5. Solve problems involving angles of elevation and depression. Over Lesson 8–4 5-Minute Check 1 A B C D Use a calculator to find tan 54°. 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. Over Lesson 8–4 5-Minute Check 5 A. Use the right triangles to find these two lengths.
Follow along with Jacob and his family on their summer road trip! Example 2 Angle of Depression Answer: The seal is about 31 feet from the cliff. Find the distance between the two cars to the nearest foot. She observes two parked cars. Stuck on something else? 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. 24 ft C. 37 ft D. 49 ft Madison looks out her second-floor window, which is 15 feet above the ground. PlanBecause are horizontal lines, they are parallel. 8 4 practice a angles of elevation and depression word problems and answers. Multiply both sides by x. Divide both sides by tan Simplify. Divide each side by tan. Divide each side by tan Use a calculator.
1 Make sense of problems and persevere in solving them. Thus, and because they are alternate interior angles. 583/ 1-11, 32-38, 45-48. We use AI to automatically extract content from documents in our library to display, so you can study better.
The pool itself is 50 feet in length. JL – KL ≈ –, or about 8 meters. The front edge of the platform projects 5 feet beyond the ends of the pool. A 5-foot-6-inch tall acrobat is standing on a platform that is 25 feet off the ground.
Example 1 Angle of Elevation Answer: The audience member is about 60 feet from the base of the platform. Example 3 Use Two Angles of Elevation or Depression UnderstandΔMLK and ΔMLJ are right triangles. B. C. D. CCSS Content Standards Use trigonometric ratios and the Pythagorean Theorem to solve right triangles in applied problems. Vernon's position is 154 meters above sea level, and the angles of depression to the two dolphins are 35° and 36°. Over Lesson 8–4 5-Minute Check 6 Use a special right triangle to express sin 45° as a fraction. Make a sketch of the situation. 8 4 practice a angles of elevation and depression. Vocabulary angle of elevation angle of depression. What is the horizontal distance between the hot air balloon and the landing spot to the nearest foot?
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°? Get answers and explanations from our Expert Tutors, in as fast as 20 minutes. Example 2 Angle of Depression DISTANCE Maria is at the top of a cliff and sees a seal in the water. A camera is set up at the opposite end of the pool even with the pool's edge. 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. Since are parallel, m BAC = m ACD by the Alternate Interior Angles Theorem. Example 1 Angle of Elevation CIRCUS ACTS At the circus, a person in the audience at ground level watches the high-wire routine. C = 52°; AD = 40, and DC = x Multiply each side by x.
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