1. Rana is at the top of a cliff and sees a seal in the water. If the cliff is 40 m above the water and the angle of depression is 52°, what is the horizontal distance from the seal to the cliff, to the nearest m? 2. Ahmed is on the top deck of a cruise ship and observes two dolphins following each other directly away from the ship in a straight line. Ahmed's position is 154 m above sea level, and the angles of depression to the two dolphins are 35° and 36°. Find the distance between the two dolphins to the nearest meter.

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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.

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A: Given: A boy is flying two kites simultaneously. He has 200 ft of line out to one kite and 280 ft of…

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Q: John is surveying a lake where he observed three points (point A, point B, and point C). He found…

A: Given, AB= 250 ft A= 40° B= 112° We know that total angle in a triangle is 180° Therefore, A+B+C=…

Q: What would be the angle to a point on a wheel with with coordinates (5,30)?

A: we have to determine the angle to a point on a wheel with coordinate (5,30). as we know that the…

Q: A 42m lighthouse sits on the shore of a body of water. From the top of the lighthouse, a worker can…

A: Approach to solving the question:Please see attached photos for detailed solutions. Thank you.…

Q: John and Jim are standing on the outside of a circular platform and form a 60 degree angle with the…

A: Since Mike is standing on the platform, he is standing on the circle.

Q: 2. A surveyor has estimated that a mountain is 2540 ft high. He also measures the angles of…

A: Given: A surveyor has estimated that a mountain is 2540 ft high.Angles of depression (from the top…

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.