1. Finding the Height of an Airplane. An aircraft is spotted by two observers who are 1000 feet apart. As the airplane passes over the line joining them, each This module is a property of Technological University of the Philippines Visayas intended for EDUCATIONAL PURPOSES ONLY and is NOT FOR SALE NOR FOR REPRODUCTION. 91 observer takes a sighting of the angle of elevation to the plane, as indicated in the figure. How high is the airplane?

Q: A triangle is defined by three points M(A,B,C), N(D,E,F), and P(C,B,E). Find the angle N of this…

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Q: DIRECTION: Imagine you are at school and the classes are done. First, write down the closest…

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Q: The coordinates of two points A and B are (3, 4) and (5,-2), respectively. Find the coordinates of…

A: Given that the coordinates of two points A and B are A3,4 and B5,−2 respectively. Also given PA=PB…

Q: Plot each point and form the triangle ABC. Verify that the triangle is a right triangle. Find its…

A: Given :            The points are             A= (-6, 3), B = (3, -5) and C = -1, 5   To verify…

Q: 2. A 71.6m tower is to be constructed on a hill with a slope of 15.6°. Both cables make a 42.5°…

A: We will use sin Rule to find the length of each cable.

Q: ? You are given a right angle to bisect. Solve for the measure of the two new angles. Verify your…

A: With the help of compass I'm drawing angle 45.

Q: Question An observer standing on top of a cliff sp adjacent valley at an angle of depression from…

A: We will find the distance between the house and the base of the cliff.

Q: iv. : a quantity that requires both a magnitude and a direction for a complete description.

A: We have to complete the definition.

Q: Direction: Find the quadrant where the terminal side of each of the following angles lies. a.…

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Q: When watching a rocket launch in the same park, Nema is 0.8km closer to the launching pad than Joel.…

A: topic - trigonometric ratios

Q: Find all of the indicated angles of the parallelogram. Explain your reasoning clearly. 75°

A: From the given parallelogram, we have to find the required values.

Q: Example Stem: Donna wants to calculate the height of a tree. She makes the following measurements.…

A: To calculate the height of the tree.

Q: What is the angle of elevation created with the ground when a flagpole with a height of 20 feet…

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Q: Direction: Given the lengths determine whether or not a triangle can be formed. Write "P" for…

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Q: Determine two coterminal angles (one positive and one negative) for each angle. Give your answers in…

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Q: 4. Point A forms a line segment with the origin. Determine the measure of the angle between the line…

A: initial point (0,0)A (-4,-4)

Q: (-4x) (−14x)

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Q: his is the base and Admiral Adams uses his instruments to determine that there is a 103° angle…

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Q: Antonio noticed that at 30° and at 150° their cart was .5 (50ft) high. These are the two points…

A: Antonio noticed that at 30° and at 150° their cart was .550 ft high.

Ratios

A ratio is a comparison between two numbers of the same kind. It represents how many times one number contains another. It also represents how small or large one number is compared to the other.

Trigonometric Ratios

Trigonometric ratios give values of trigonometric functions. It always deals with triangles that have one angle measuring 90 degrees. These triangles are right-angled. We take the ratio of sides of these triangles.