For an angle θ, tan(θ) is a negative number. Which quadrants might θ be in? quadrants I and II quadrants I and III quadrants II and III quadrants II and IV

Q: he angle of a depress from a lighthouse to a boat in the water 14 degrees. If the boat is 532 feet…

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Q: Two men on the same side of a tall building whose the angle of elevation to the top of the building…

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Q: An inaccessible cliff was sighted from point A. The angle of elevation was observed to be 18.45°.…

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Q: An air traffic controller on top of a 300-foot airport tower looks up and sees a balloon. The angle…

A: Trigonometry is a branch of mathematics that studies relationships between side lengths and angles…

Q: If A, B, and C are the measures of the angles of any triangle and if a, b, and c are the lengths of…

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Q: A road is inclined at an angle of 5. After driving 4,792 feet along this road, find the driver's…

A: It is given that the road is inclined at an angle 5°. The distance driven is 4,792 ft. Let the…

Q: 1.Brian’s kite is flying above a field at the end of 65 m of string. If the angle of elevation to…

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Q: ouic ututu A man throws a basketball from 30 in. above the ground. The basketball bounces off the…

A: Similar triangles

Q: A plane takes off from a runway and travels 50,000ft at a constant angle of incline. The planes…

A: According to the question, the figure will be:   To find: Value of x.

Q: The angle type of supplementary angle for any positive acute angle is 0 give an example.

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Q: From the top of a lighthouse 18m high, the angle of depression to sight a boat is 4°. What is the…

A: Here we have use the concept of trigonometric ratio

Q: Two guy wires from the top of a 33-foot tent pole are anchored to the ground below by two stakes.…

A: Given, Height of the pole = 30 feet Angle of depression of the two stake  = 46° and 42o  Now, making…

Q: Ana and Rico are setting up decorations for their school dance. Rico is standing 5ft directly in…

A: Using trigonometric identities

Q: 31. Inscribed in a triangle ABC is a circle touching the side AB at the point M, and the side AC at…

A: Given that : a circle inscribed in a triangle ABC touching the side AB at the point M and side AC at…

Q: At point A,the angle of elevation of a marathoner off to the sun is 75 degree. Find the distance…

A: Topic:- trigonometry

Q: 10. You are standing on top of a small building that is 12m high. The angle of elevation to the top…

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Q: A surveyor measures the top of a lighthouse 70 ft. Away from him. His angle-measuring device is 4…

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Q: Charlie is swimming in the ocean and notices a coral reef below her. The angle of depression is 55∘…

A: We will use trigonamentric ratio to find it.

Q: 3. The angle of depression from the top of a 130-meter high vertical cliff to a boat is 48°. Find…

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Q: An observer on the top of a cliff 150 m high above the angle of depression of two ships, which are…

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Q: You are in a hot air balloon that is 600 feet above the ground. You can see two people. The angles…

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Q: ABCD is a quadrilateral inscribed in a circle, as shown below: What equation can be used to solve…

A: Sum of opposite angle of a quadrilateral inscribed in a circle is 180 degree Hence…

Q: A kite is flying 80 feet off the ground, and its string is pulled taut. The angle of elevation of…

A: To Determine:  Find the length of the string. Round your answer to the nearest tenth. Given: A kite…

Q: . The supplement of any obtuse angle 5. The supplement of a straight angle 6. The complement of the…

A: Two angles are called supplementary when their measures add up to 180 degrees. part 4.) let x be an…

Q: kite is flying 95 ft off the ground, and its string is pulled taut. The angle of elevation of the…

A: GivenKite is flying 95ft off the ground & the angle of elevation of kite is 40°.To compute the…

Q: In the figure, a person standing at point A notices that the angle of elevation to the top of the…

A: Consider the given: ∠A=46°30'=46+3060=46.5°∠D=41°10'=41+1060=41.17°

Q: If ZM is an acute angle, give two possible values of n? 1. (3n -60)" If ZM is a right angle, give…

A: here we have to find the possible value of n

Q: The captain of a small boat measures and deteremines that the angle of depression from the top of a…

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Q: . From an airplane at an altitude of 1200 m, the angle of depression to a building on the ground…

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Q: (a) Corresponding angles: 2and (b) Alternate interior angles: 2and 2 (c) Alternate exterior angles:…

A: Follow the procedure given below.

Q: 8. You are a block away from a skyscraper that is 780 feet tall. Your friend is between the…

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Q: From the top of a tree 60 feet, high, the angle of elevation of the top of a vertical pole is 14…

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Q: A child is holding the end of a 38 meter string attached to a kit. The string has an angle of…

A: Given,         A child is holding the end of a 38 meter string attached to a kit.        The string…

Q: A 13.5-m fire truck ladder is leaning against a wall. Find the distance the ladder goes up the wall…

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Q: The two boats 15 nautical miles apart, subtends an angle of 100degrees from a lighthouse 7 naut. mi.…

A: Let d denote distance between the lighthouse and other boat. Thus, using cosine law of triangles:

Q: You are on level ground in the late afternoon. The sun is at an angle of elevation of 20 degrees. A…

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Q: From the top of a building 70 feet, high, the angle of elevation of the top of a vertical pole is 18…

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Q: @ Find the angles of: B tan'(-3) 1@ tan'l Otan')

A: Note: Since you have asked multiple question, we will solve the first question for you. If you want…

Q: (WASSCE) A woman looking out from the window of a building at a height of 30 m, observed that the…

A: Given:

Q: A surveyor who is measuring the tallest tree in a park is 175 ft from the tree. His angle-measuring…

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Q: You are on level ground in the late afternoon. The Sun is at angle of elevation of 23 degrees . A…

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Q: o measure the height of the cloud cover at an airport, a worker shines a powerful spotlight upward…

A: To measure the height of the cloud cover at an airport, a worker shinesa powerful spotlight upward…

Q: An observer at Airport A sees a plane 35 miles away. Airport A is 50 miles from Airport B. From…

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Q: Draw the pictures presented by the information in the given problem (written answer is not required)…

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Q: A surveyor has taken the measurements to opposites side of a lake one side is 724 feet the distance…

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Q: From a point on level ground the angle of elevation of the top of the CN tower is measured and found…

A: use trigonometric identity

Q: A kite is flying  87   ft  off the ground, and its string is pulled taut. The angle of elevation…

A: let A be the position of the kite It is 87ft above the ground  The angle of elevation is 53°

Q: . A 12-meter high post casts a 19-meter shadow. Find the angle of elevation to the sun. 2. The angle…

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Q: You must order a new rope for the flagpole. To find out what length of rope is needed you must…

A: Topic:- Geometry

Fundamentals of Trigonometric Identities

Trigonometric Identities are the equalities that involve trigonometry functions and hold for all the values of variables given in the equation.