Section 7-Topic 9 Introduction to Trigonometry-Part 2 1. Consider the triangle below. 35° 18 Part A: Determine the perimeter of the triangle to the nearest hundredth. Part B: Determine the area of the triangle to the nearest hundredth.

Q: Solve the triangle. Round your answers to the nearest tenth. Triangle ABC with angle B being seventy…

A: Given, ∆ABC with ∠B = 79.5°, AB = 25.1 km  and  BC =24 km  We have to solve the triangle

Q: 1, list the parts of each triangle you can determine using the Law of Cosines.

A: The solution for the above question is shown below.

Q: Illustrate the Law of Cosines?

A: Given: Define the law of cosines with examples:

Q: When do we use the half-angle and double angle formulas? Can you provide an example?

A: Half angle formula:      When we need to find the trigonometry values for any ang;e that can be…

Q: The angle 0 is in standard position, passing through the point (12, -35). What is the measurement of…

A: (12, -35) is the point at the circle x2+y2=r2. So, r=122+-352=1369=37. Now, tanθ=yx=12-35

Q: The right triangle AIDE is inscribed in circle L with altitude DA constructed from D. Ignore the…

A: Given:

Q: A sector of area 2π/5 square inches is formed by a central angle of 45°. What is the radius of the…

A: The area of a sector is given by:

Q: 26. The terminal ray of an angle extends from the origin out through the point (-11 , 4 ). What is…

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Q: 40 ft ladder is leaning against a wall making a 48 degree angle with the ground. Draw a diagram…

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Q: A triangle is drawn on the grid below. Which graph shows the triangle rotated 180° about the origin?

A:

Q: Triangle FXY is rotated and then translated to a new location and named triangle ABC. Which of the…

A: Given  ∆FXY is rotated and translated to a new location and named ∆ABC.

Q: angle of elevation

A: Note that height is always measured perpendicular to the ground level. Consider the schematic is…

Q: 9. A water sprinkler shoots out water for 20 feet and turns an angle of 150 Degrees. Draw the…

A: as per given information construct circle as below:

Q: What is the exact point of r if the point (-4,2) lies on the terminal side of an angle x when drawn…

A: It is given that, the point (-4,2) lies on the terminal side of the angle.

Q: 21. Imagine the point (-, -) on the terminal side of an angle. Find the value for the cosecant of…

A:

Q: Example 4: Can a triangle be formed with sides of length 8, 5 and 13?

A: From the triangle inequality:   a+b>ca+c>bb+c>a   If these inequalities are satisfying…

Q: draw the angle 7pi/2 in standard position. What are the coordinates where the terminal side of this…

A:

Q: 6. The guide wire to support a radio tower is positioned 100 feet up the tower. It forms a 60-degree…

A:

Q: Solve for angle A in triangle ABC with side AB = 268, side BC = 524 and angle B = 144°. %3D Select…

A: Que : Solve for angle A in triangle ABC with side AB = 268 and side BC= 524 and angle B = 144

Q: Section 6-Topic 2 Triangle Similarity – Part 2 1. Before rock climbing, Fernando, who is 5.5 ft.…

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Q: 3 4

A: First I have written the relationship between two trigonometrical function, just use them and…

Q: 7. A vegetable garden sprinkler sprays water over a distance of 11 meters and rotates through an…

A:

Q: . Using the cosine rule, find the length of side b, rounded to 2 decimal places. B. Without using…

A: Solve the following

Q: To approximate the length of a marsh, a surveyor walks x=420 meters from point A to point B, then…

A: Let θ represents ∠BCA, and ϕ represents ∠BAC. Solve for ∠ABC, ∠ABC+75°=180°⇒∠ABC=180°-75°⇒∠ABC=105°…

Q: Point C is located on AB such that the ratio of AC : CB is 3:2. What is the x-coordinate of C?

A:

Q: Please explain the solution in a clear manner, step by step.

A: Here, we have to calculate AB  , where BC=108 feet and angle C=0.5 degree

Q: As part of a video game, the point (7, 3) is rotated counterclockwise about the origin hrough an…

A:

Q: 4. The point (0.422,-0.907) lies at the intersection of the unit circle and the terminal arm of an…

A: As point is (0.422, -0.907), is lying on intersection of the unit circle and a terminal arm of θ,…

Q: Previously asked this question, and got this answer. Still don't understand. Can't read the writing.…

A:

Q: What is the point of the intersection of the angle of the unit circle pi/2? (show full solution)

A: Given the query is to find the point of intersection of π/2 on unit circle.

Q: To measure cloud height at night, a vertical beam of light is directed on a spot on the cloud. From…

A:

Q: How can the unit circle help us find the exact values of trig expressions involving special angles?…

A: To show how trigonometric expressions can be found using Unit circle.

Q: A triangular field has sides of lengths 20, 38, 52 km. Enter your answer as a number; answer should…

A: detailed solution is given below

Q: Section 3.2 Chapter 3 5. Calculate angle D if the holes are evenly spaced around the circle. D O

A: Known fact: suppose angles are divided from the circle then their sum should be 360.

Q: Part 2 There is an antenna on the top of a building. From a location 300 feet from the base of the…

A:

Q: What angle in standard position, to the nearest degree, does the terminal point P(3, –2) form?

A:

Q: The diagram shown in the figure represents the height of a blimp flying over a football stadium.…

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Q: I need help solving the triangle in the picture attached.

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Q: Please show me the complete solution on how did you come up with angle 3 and 4 thanks you

A: Cosine rule :In any △ABC: Where, a = BC; b = AC; c = ABcosC= a2+ b2 -c22ab…

Q: 4. The point (0.422,-0.907) lies at the intersection of the unit circle and the terminal arm of an…

A:

Q: The terminal side of an angle e in standard position passes through the point (4, -5). Find the…

A: Given : The terminal side of an angle θ in standard position passes through the point (4, -5).…

Q: What does it mean to solve a triangle?

A: To solve a triangle means to find the rest of the sides and the angles.

Q: What is the definition of tetha, beta and alpha in trigonometry?Provide additional illustrations.…

A: Angles are the main focus in trigonometry, and you can work with them even if you don't know their…

Q: Chapter 3 section 3.1 3) with comesponding angles. find mLA if mLF=##ã°. indicated, 8. 9.

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Q: A point (3, - 1) on the terminal side of an angle 0 is given. Find the exact value of csc 0. 2/10…

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Q: 4. A live oak tree casts a shadow 58 feet long, Find the height of the tree if the angle of…

A: Here is the solution:

Q: 3. A teenager at a distance of (30 + 6) meters from the foot of a building, observing the top of a…

A: Given:

Q: 7) In Example 5, suppose the angle of elevation is 35°. What is the new height and base length of…

A:

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.