Maria is standing in her bedroom and looking out at a tree outside her window. The tree is 20 ft away from Maria. Maria’s line is sight to the top of the tree makes a 42 degree angle of elevation, and her line of sight to the base of the tree creates a 31 degree angle of depression What is the height of the tree to the nearest foot

Q: How long is a wire if it's attached to the top of a 50ft cell tower and makes a 70 degree angle with…

A: The objective of the question is to solve four different problems involving trigonometry and…

Q: A woodcutter determine the height of tall tree by measuring a smaller one 125 ft away,then moving so…

A: First draw a diagram that describe this scenario. Let FG be the length of the tall tree. Let DE be…

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: Lisa stands at the window of a building looking for her lost cat. She spots her cat 58.5 m away from…

A: Lisa spots the cat from the window of building which is at a height of 12.6 m.  The cat is at a…

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: You are designing a circular, pattern that has two stars on the circle with an arc of 50 degrees…

A: The angle made by the arc AB at the center 'O' of the circle is equal to the angle made at the…

Q: A man lies 18 horizontal feet from the base of a wall. He must incline his eyes at an angle of 21…

A: It is given that,  A man lies 18 horizontal feet from the base of a wall. He must incline his eyes…

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: An observer standing on the southern bank of a river sees a tree that is much more than 100 feet…

A:

Q: An awning that covers a sliding glass door that is 88 inches tall forms an angle of 50° with the…

A: Given that An awning that covers a sliding glass door that is 88 inches tall forms an angle of 50°…

Q: A fisherman is 7 miles west and 3 miles north of the marina. To head directly back to the marina,…

A: using pythagorous theoremAM2=AB2+BM2

Q: 14 ft 5 ft

A:

Q: air traffic controller needs to calculate the height of an incoming jet. The jet's angle of…

A: Given that:The angle of elevation is 28° and the horizontal distance is 140 km.To find: The height…

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: You are a secret agent trapped at the top of a tall building. To escape, you decide to slide down a…

A: The objective of this question is to find the length of the zip line. We can use trigonometry to…

Q: King Kong stands on the edge of the roof of a 68 foot high building. You poke your head out of a…

A: Given the height of a buliding which is 68 ft high and a king kong which stands on the edge of roof.

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.