Two circles intersect and they have a common chord 12 cm long. The measure of the angles formed by the common chord and a radius of each circle to the points of intersection of the circles is 45°. Find the length of the radius of each circle.

Q: A balloon passes between two observers that are 2 miles apart. The angle of elevation are 27° and…

A: A balloon passes between two observers that are 2 miles apart. The angle of elevation are 27° and…

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Q: From the top of a building 100 m high, the angles of depression of two cars due east of the observer…

A: I am attaching image so that you understand each and every step.

Q: Similarities

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Q: n airport is monitoring 2 planes in its air space and measured the distance from each plane to the…

A: An airport is monitoring 2 planes in its air space and measured the distance from each plane to the…

Q: A surveyor wishes to determine the width of a pond. From a point A at one end of the pond, he marks…

A: According to the given problem BC is the width of the pond .

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Q: 4. Two light spotted the same mark on the tower, the mark was 35 ft. from the ground. The forst…

A: Given problem:- Two light spotted the same mark on the tower, the mark was 35 ft. from the ground.…

Q: A circle has central angle measuring 108° and radius of 11 units. Solve for the area of the sector…

A: Given information Angle θ=108° And radius r=11 units. We have to find the area of the sector and the…

Q: The height of a tower is 175feet and it casts a shadow of 78 feet. find the angle elevation fUM the…

A: The height of a tower is 175 feet and it casts a shadow of 78 feet.

Q: person observes that a wire runs from the top of a building to the ground 40 meters away. If the…

A: Given: A person observes that a wire runs from the top of a building to the ground 40 meters away.…

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Q: An ant looks up at a UFO at an angle of elevation of 23 degrees. The ant noticed that the shadow of…

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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.