Olivia stands on the street and looks at the 6th floor of a building at a 50° angle of elevation. She then steps back 15 feet and looks at the 6th Floor at a 40° angle. If Olivia is 4 feet tall, how far away from the building was she when she first looked up?

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A: M → Mindy         TD → Tower ,          ∠ TMD  = 75°  ,       MD = 28 ft .

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Q: A tower casts a shadow that is 154 feet long when the angle of elevation to the sun is 52°. How tall…

A: We use the definition of tan of an angle heretanθ =opposite sideadjacent side

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A: Given that Gabe can see the top of the fountain at an angle of 39 degree. If Gabe is 1.3 m tall and…

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A: Topic-hight & distance trigonometry

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A: We will use formula of sin(x) to solve this.

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A: given: A 16 foot ladder leaning against a wall of a house makes a 50° angle with the ground. we have…

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A:

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A: height of building =?

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A: By using trigonometric ratio and Pythagoras theorem, we calculate the height of the tree.

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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.