Julia lies down on the grass in a park and begins reading a book. She is 30 meters away from the base of a large maple tree, and when she looks up to the top of the tree she looks at an angle of 35°. What is the height of the maple tree to the nearest tenth of a meter?

Q: Miguel drives 220 meters up a hill that makes an angle of 4° with the horizontal ground. To the…

A: The figure of problem

Q: The architect stands 6 feet from a climbing frame, looking up at the top of the frame at an angle of…

A: Given  architect stands 6 feet from climbing frame

Q: It is 58 road miles from Denver to the Eisenhower tunnel. Denver is 5882 ft above sea level. The…

A: The distance between Denver to the Eisenhower Tunnel is 58 milesDenver is 5882 ft above mean sea…

Q: A woman is standing on an 85-meter tall cliff.  She spots a boat in the water below at an angle of…

A:

Q: Louie and Bugs, who are standing 90 feet apart, are lookin them. If the angle of elevation from…

A:

Q: A six foot man is standing 80 feet away from a building.  He looks up at a 30° angle to see the top…

A:

Q: Jim is looking up at a tree at an angle of elevation of 60°. If Jim is standing 72 feet away from…

A: use the formula by the trigonometric ratio for finding the height of the tree.

Q: Jack's eyes are 5 feet above the ground. He is standing 400 feet from the base of a building. His…

A:

Q: Raul is standing 75 feet from the base of the world's tallest totem pole in Canada. The angle of…

A: The objective of this question is to find the height of the totem pole. We can use the tangent of…

Q: A man is 550 feet from the base of a very tall building. The building is standing on a large flat…

A: We sketch the situation roughly. Let the height of the building is = h feet

Q: Tamara wants to calculate the height of a tree outside her home. Using her clinometer, she measures…

A:

Q: Laura is flying a kite at a local park. She let's out 60 m of her kite string,which makes an angle…

A: As we know that  Sinθ=HeightHypotenus implies that   Height=Hypotenus×sinθ

Q: You are standing on top of a cliff 500 ft. above the ocean looking out at the water.  You see a…

A: tanθ=oppositeadjacentIn this question, opposite is the height and adjacent is the base

Q: A forest ranger sights a fire from a tower. She is looking down from a tower at a 10-degree angle.…

A: We Use tan(x) formula for solving this problem. tanx = opposite side/ Adjacent side.

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.