A tree that is perpendicular to the ground sits on a straight line between two people located 420 feet apart. The angles of elevation from each person to the top of the tree measure 50°and 66°, respectively. How tall, to the nearest tenth of a foot,is the tree?

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 man who is 70 inches tall casts a shadow of 105 inches. Assuming that the man is standing…

A: Proceed as shown below

Q: A tree is 99 metres away on flat ground. Its top is an an elevation of 7 degrees above horizontal.…

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: 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: A surveyor in an airplane travelling east sees a lake in front of her. The angle of depression to…

A:

Q: From a bedroom window of an apartment, Jack witness an accident at an angle of depression of 58…

A: Given Data: The angle of depression of the accident is: θ=58° The distance between the base of the…

Q: An airplane needs to head due north, but there is a wind blowing from the northwest at 60 km/hr. The…

A: The given details: The wind blowing from northwest at 60km/hr. The plane flies at an airspeed of…

Q: Two trains leave a station at the same time on straight sections of track which form   an angle of…

A:

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: The Eiffel tower is 970 feet tall, Ie the shadow iS 1200 feet lang at 11:00 am, what is the angle of…

A: topic - inverse trigonometric ratios

Q: A bird is on perched on top of an 18 feet high flagpole. If the angle of depression of its direct…

A:

Q: An observer saw a canoe 8 meters below the cliff that makes a viewing angle with respect to the…

A: Given conditions can be drawn as follows, Here, Angle of depressions 30o and angle ABC are…

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.