6. An obtuse angle 0 has the point B(-x, y) on its terminal arm. a) Express the length of line segment OB in terms of x and y. b) Write expressions for the primary trigonometric ratios for the angle.

Q: 2. A giant west coast cedar leans at an angle of 85° to the horizontal. A man is lying down 70 m…

A:

Q: An obtuse triangle with area 12 square centimeters has two sides of length 4 and 10 cm. Determine…

A:

Q: 4.] From point A on the ground 30 meters away from the building, the angle of elevation to the base…

A: Topic :- Trigonometry

Q: What is the value of cot 0 if the terminal side of angle 0 intersects the unit circle in the first…

A:

Q: 2. From the top of the control tower 250 m tall, a rock is sighted on the ground below. If the rock…

A: Given, h=250 and l=170.

Q: 1. From a corridor of VNHSain building 50 m above the ground level, the angle of depression of I…

A:

Q: 6. Use the tangent ratio to find the size of the angle marked x, correct to the nearest degree. 35…

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Q: 4. A central angle 0 in a circle of radius 20 m is subtended by an arc of length 25TT inches.Find…

A: Given, Radius r=20 m Arc of length = 25π inches. If you observe here the units are different, so let…

Q: 1. The lateral edge of side 12 makes an angle of 30° with the base. What is altitude of the square…

A:

Q: The terminal side of angle 0 intersects the unit circle in the first quadrant at (, y). What is the…

A:

Q: 17. A central angle in a propeller of a helicopter measures 6 radi- ans. If the distance starting…

A: Measure of Central Angle ,θ = 6 RadiansDistance from centre to tip , r = 220 cmwe have to find the…

Q: 2. What is the length of the arc subtended by a central angle of 260° if the radius of the circle is…

A:

Q: Given that the terminal side of angle 0 goes through the point (-3, –4), find tan(0).

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Q: 1. How are central angles related to the arc it intercepts? 2. How are inscribed angles related to…

A: Since you have asked multiple question, we will solve the first 3 question for you as per our guide…

Q: Find the exact values of the six trigonometric ratios of the angle 0 in the triangle. 160 164

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Q: Consider a right triangle with a side of length x opposite angle AA, a side of length yy opposite…

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Q: 12. How is the measure of a central angle and the corresponding chord related to the measure of the…

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Q: 17. To measure cloud height at night, a vertical bean of light is directed on a spot on the cloud.…

A: We have to find the height of cloud .

Q: Using your knowledge of trigonometry. Find the exact value of arccos(7π/)6

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Q: 4. A satellite that orbits above Earth's equator has a viewing angle of Earth formed y two tangents…

A: Solution:-

Q: 1. From a corridor of VNHS …ain building 50 m above the ground level, the angle of depression of I…

A: Height and distance

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

A:

Q: 5/7.1/// On a circle of radius 8 feet, give the degree measure of the angle that would subtend an…

A: Here we have to find the angle.

Q: 2. A broadcast antenna is located at the top of a building 1000 feet tall. From a point on the same…

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Q: 6) Give the location of a point that is at the angle -40° on a circle centered at the origin with…

A: Given a point that is at the angle -40 degree on a circle centered at the origin with radius 5…

Q: Which has more pizza, a slice from a pie with radius 7 inches cut with a central angle of 35°, or a…

A:

Q: 1. Why is it important to use the six trigonometric ratios in getting a missing angle value?

A: The six trigonometric ratios are sine, cosine, tangent, cotangent, secant, and cosecant. Basically,…

Q: Find the tangent ratio of angle BCK.

A: Fake triangle ABK, We know that total interior angles of a triangle sum up to 180°. A+B+K=180°…

Q: 4. From the top of a building 60 m high, the angle of depression to a car on the road is 37 '.…

A:

Q: Determine the length of the arc (in radian measure) and the measure of the angle (in radian and…

A: Given: Length starts from point (1,0) to positive x-axis, negative x-axis, positive y-axis, and…

Q: What is the smallest positive degree angle measure equivalent to tan-(0.724)

A: Given  tan−10.724

Q: Suppose you have three concentric circles and are looking at the arc lengths of a 80° angle of each.…

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Q: 13 Note: Figure not drawn to scale. Triangle FGH is inscribed in the circle above. If arc FG is…

A:

Q: Why will the cosine ratio never be ambiguous within a triangle?

A: If we restrict our attention to triangle angles, between 0⁰ and 180⁰, we see the difference between…

Q: Show that one slice of an 18-inch pizza is larger than two slices of a 12-inch pizza. The solution…

A: To Prove: 'one slice' of an 18-inch pizza is larger than 'two slices' of a 12-inch pizza.

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

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Q: 1. Find the length of an arc that subtends a central angle of 45° in a circle of radius 10 m?

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Q: 12) The angle of elevation to the top of empire state building is from the ground at a distance of 8…

A:

Q: 4. To estimate the height of a mountain above a level plain, the angle of elevation to the top of…

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Q: 2. When a man measured the angle of elevation of the top of the tower from a cert point, it was…

A: Given problem:- When a man measured the angle of elevation of the top of the tower from a certain…

Q: . A circular piece of cardboard with a diameter of 1 m will be made into a conical hat 40 cm high by…

A: Use circumference of surfaces

Q: 2. From a point 20 m from the base of a building, the angle of elevation of the top of the building…

A:

Q: xplain why the values of the trigonometric ratios only depend on the angle αα and not on the…

A: ratios of the lengths of two sides of similar right triangles are equal. Therefore, the sets of…

Q: 5) What is the measure of arc QR in degrees?

A: Here is the solution

Q: 10) The 55-meter Leaning Tower of Pisa, leans at 5.5° off from the perpendicular. Assuming the angle…

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Q: 3. What is the radius of the circle whose central angle of 225° subtends an arc of 41 cm?

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Q: 5. What is the smallest positive degree angle measure equivalent to tan (0.724)?

A: Given, z=tan-10.724

Q: 14, A cell phone tower Is anchored by two cables on each slde for support. The cables stretch from…

A: Given : A cell phone tower is anchored by two cables on each side for support. The cables stretch…

Q: 2. A shopper is standing on level ground 800 feet from the base of a 250 foot tall department store.…

A: A shopper is standing on level ground 800 feet from the base of a 250 foot tall department store.

Q: 4. Find the exact measure of the radius if the central angle of a circle is 200° and the arc length…

A:

Angles

In mathematics, angles constitute a very important part. Just like the concept of lines, an angle is a necessary figure that is used for measurement. How do you define its formation? It is formed when two or more lines meet at a point. The point at which two or more lines meet is known as the vertex. When the lines get inclined at this point, they do form various angles. Angles are measured from the vertex in terms of degrees.