50° 3a° 3a LMNP is inscribed in a circle, so thinking about theorem 10.10 opposite angles are supplementary. Find the value of each variable. A) What is the value of a? Show your work to receive full credit.

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: Use reference triangles in an appropriate quadrant, as in Example 1, to find the angles in Exercise:…

A: The multiple values to find out

Q: To measure the distance through a mountain at ground level for a proposed tunnel, a point C is…

A: Topic:- cosine law

Q: The terminal side of angle O intersects the unit circle in the first quadrant at x = . What is the…

A:

Q: Jerry stands at a distance from the base of a 30 foot flagpole and views its top at an angle of 42°.…

A: Topic:- trigonometry in right angle triangle  Note:- as per our guideline if more than one question…

Q: 4. The entrance to a health clinic is x feet above street level. A ramp is installed from street…

A: Given that The entrance to a health clinic is r feet above street level.  A ramp is installed from…

Q: At a point 200 ft from the base of a cliff, Journey sees the top of the cliff through an angle of…

A: The base of the right-angled triangle is 200 ft. The angle made by the top of the cliff from the…

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

A:

Q: A short-wave radio antenna is supported by two guy wires, 165 ft and 205 ft long. Each wire is…

A: Refer to the question, the sketch can be formed  from the given information as,

Q: 5. A building 350 feet tall casts a 55-foot-long shadow. If you look down from the top of the…

A:

Q: The terminal arm of an angle, e, in standard position passes through the point P(-3,-5). 4. a)…

A: Here length of perpendicular is 3 And base is 5 By pythogoras theorem we find hypotoneous

Q: The angular elevation of a tower CD at a place A due south of it is 60°; and at a place B due west…

A:

Q: How do we measure the distance between two points, A and B, on Earth? We measure along a circle with…

A: Here, the point A and B are in same longitude and the difference of their latitude is θ, and θ is…

Q: 1. An observer stands 750 yards from the launch pad of a model rocket. As the rocket rises, the…

A: For a right angled triangle, using the cosine rule, it can be written that cos θ=bh, where b is the…

Q: Two artillery bases are located at the points A and C represented on a triangle ABC. Each of the…

A: Use law of sine to calculate the distance and angle of triangle as following:-

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

A: We have to find the value of cotθ if the terminal side of angle θ intersects the unit circle in the…

Q: ● From a point A the angle of elevation of a post is 460 10' while from a point D, 50 meters from A…

A: Note- As per our guidelines we have to answer only first question if multiple questions are…

Q: A tunnel is to be dug from point A to point B. The distance from A to C is 400m and from B to C is…

A: AB= Tunnel to dipAC = 400 CB = 700

Q: The terminal side of an angle in standard position measuring 36° intersects the un circle at (q, r).…

A: The terminal side of an angle in the standard position measuring 36° intersects the unit circle at…

Q: The angle of elevation from a point on the ground to the top of a pyramid is 35(degrees)30'. The…

A: It is given that, the angle of elevation from a point on the ground to the top of a pyramid is…

Q: A support wire is attached to the top of an antenna. The support wire connects to the ground 15 feet…

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Q: An airplane is flying at an elevation of 5150 ft, directly above a straight highway. Two motorists…

A:

Q: Two points, A and B, are on opposite sides of a building. A surveyor chooses a third point, C, 79…

A: As here we are given the length of AC, BC and the angle ACB so, we will use cosine rule to determine…

Q: 6.] From the top of a lighthouse 250 feet above the sea level, you observe a boat 298 feet away from…

A:

Q: The leaning tower of Pisa was originally perpendicular to the ground and 179 feet tall. It now leans…

A:

Q: 2. A television tower is mounted on the top of a building. The angle of elevation of the foot of the…

A: We have to use the application of trigonometry

Q: 3. How far from the door must a ramp begin in order to rise three feet with an 8° angle of…

A: Given that - the door must a ramp begin in order to rise three feet with an 8° angle of elevation.

Q: How do we measure the distance between two points, A and B, on Earth? We measure along a circle with…

A: Given- radius r=4000mi,distance(s)=8000mi. To find- The angle in radian and in degree. Formula used-…

Q: A tree grows at an angle of 2° from the vertical due to prevailing winds. At a point d = 37 meters…

A:

Q: 8. A 25-foot ladder, leaning against the side of a building, makes a 50° angle with the ground. How…

A: sinθ = PerpendicularHypotenuse

Q: 1. From the top of a 100-ft building a man observes a car moving toward him. If the angle of…

A:

Q: The terminal side of an angle in standard position measuring 37∘ intersects the unit circle at…

A: To find the ordered pair

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

A: Solve the following

Q: A ramp to the roof top parking lot of a building forms an angle of 15° with the ground and extends…

A:

Q: A 20-ft ladder leans against a building so that the angle between the ground and the ladder is 72…

A:

Q: The angle 0, drawn in standard position, intersects the unit circle at the point (-,-2). Find…

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: From one point A, the angle of elevation of the top of a tall building CD is 12°. From another point…

A:

Q: Jane is running laps on a circular track that has a radius of 115 meters. She starts at the 3…

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Q: A boat travels at 20 kph due east for one and one-half hours from point P to point A It then travels…

A: Given problem:- A boat travels at 20 kph due east for one and one-half hours from point P to point…

Q: paper 2a.pdf 6 /10 - So 131°B T A, B, C and D lie on the circle, centre O. TA is a tangent to the…

A: Given Angle ABC=131, angle ADB=20 To find: angle ADC

Q: Atunnel under a river is 197.3 ft below the surface at its lowest point, as shown in the drawing. If…

A:

Q: Two observers at point A and B, 150 km apart, sight a balloon between them at angles of elevation…

A: "ASA" is when we know two angles and a side between the angles. "ASA" means "Angle, Side, Angle" To…

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

A:

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: 4. Point A and B are on opposite sides of Yambo Lake. From a third point C, the angle between the…

A:

Q: 11) From a point on level ground 25 feet from the base of a tower, the angle of elevation to the top…

A: Given,

Q: A radio station tower was built in two sections. From a point 87 feet from the base of the tower,…

A:

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.

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.