the angle of elevation from a point on the ground to the top of a mountain top is 52.5o. the angle of elevation from a point 168 feet further back to the same mountain top is 41.2o. find the height of the mountain. (round to integer)

Q: A monster truck drives off a ramp in order to jump onto a row of cars. The ramp has a height of 9…

A: To Determine: The angle θ of the ramp. A monster truck drives off a ramp in order to jump onto a…

Q: A radio tower is located 400 feet from a building. From a window in the building, a person…

A:

Q: n airplane takes off 600 feet in front of a 100-foot tall building. What is the smallest angle of…

A: Let x be the angle .Now figure according to the given situationwhere AB = height of the building BC…

Q: 39. Find the angle of depression from the top of a lighthouse 275 feet above water to a boat 1,324…

A:

Q: measure a stone face carved on the side of a​ mountain, two sightings 650 feet from the base of the…

A: Given query is to find the height of the stone face using triangle.

Q: A radio tower is located 350 feet from a building. From a window in the building, a person…

A:

Q: a man standing on the roof of a building 58.0 feet high looks down to the building next door. He…

A: Given the angle of depressions of top and bottom of the buildings are 34.9 degree and 63.8 degree…

Q: A radio tower is located 425 feet from a building. From a window in the building, a person…

A:

Q: The angle of elevation to the top of the Empire State Building in New York is found to be 19 degrees…

A:

Q: The angle of depression from the top of a cliff to a hiker below is 35°. If the cliff is 550 feet…

A: We need to find how for away is the hiker from the base of the cliff

Q: A radio tower is located 400 feet from a building. From a window in the building, a person…

A: Given: A radio tower is located 400 feet from a building. From a window in the building, a person…

Q: A man standing near a radio station antenna observes that the angle of elevation to the top of the…

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: A straight kite string makes an angle of 40° with the ground, as shown in the diagram. If y = 210…

A: It is given that the length of the string is 210 feet  and angle of the string with the ground is…

Q: . Standing on top of a 30-ft lifeguard tower, an observer measures the angle of elevation of a…

A: We will be using the formula of tangent at the given triangles to find the height (h) of the…

Q: A rectangular piece of land is 619.7 feet by 868.4 feet. Find the acute angle made by the diagonal…

A:

Q: A 20-foot ladder leaning against a wall forms an angle of 46° with the ground. How far up the side…

A: ladder length=20 footwe know-sin θ=xladder

Q: A radio tower is located 250 feet from a building. From a window in the building, a person…

A: topic - application of trigonometry

Q: A radio tower is located 375 feet from a building. From a window in the building, a person…

A:

Q: A radio tower is located 375 feet from a building. From a window in the building, a person…

A: Solve for the height of the tower

Q: A radio tower is located 425 feet from a building. From a window in the building, a person…

A: ∴Height of tower is x+yAM=425 ftIn ∆ADM ;tan40°=x425x=425 x tan 40°∴x=356.617 ft

Q: From the top of a 215-meter-tall building, an observer measures the angle of depression of a bicycle…

A: Use trigonometric ratio to solve it.

Q: A ship's sonar finds that the angle of depression to a wreck on the bottom of the ocean is 15.2. If…

A: Given that ship's sonar finds the angle of depression to a wreck on the bottom of the ocean is 15.2…

Q: person observes that a wire runs from the top of a building to the ground 40 meters away. If the…

A: Given: A person observes that a wire runs from the top of a building to the ground 40 meters away.…

Q: A radio tower is located 300 feet from a building. From a window in the building, a person…

A:

Q: From the observation deck of a skyscraper, Jamal measures a 45 ° angle of depression to a ship in…

A:

Q: A 140-foot antenna is on top of a tall building. From a point on the ground, the angle of elevation…

A:

Q: An airplane pilot finds the measure of the angle of depression of the edge of the runway to be 47°.…

A:

Q: The angle of depression of a television tower to a point on the ground 36.0 meters from the bottom…

A: Solve it.

Q: An observer at the top of a 532 foot cliff measures the angle of depression from the top of the…

A:

Q: The tallest television transmitting tower in the world is in North Dakota. From a point on level…

A: From the given problem, the represented diagram is as shown below. Let the height of the tower is…

Q: A radio tower is located 350 feet from a building. From a window in the building, a person…

A:

Q: A2: From a theodolite platform at an elevation of 83.69m above sea level, the top of a mountain…

A:

Q: From the top of a 200 meters high building, the angle of depression to the bottom of a second…

A: Given- From the top of 200 m high building, the angle of depression to the bottom of a second high…

Q: Suppose a building is erected such that the base of the building is 109 meters from the base of a…

A: Consider the provided question, According to given question we drawn a diagram,

Q: The angle of elevation from level ground to the top of a building 12m away is 38 degrees. How tall…

A: We have to find the height of the building.  For this we can take tan(38) in given triangle

Q: A surveyor standing 69 meters from the base of a building measures the angle to the top of the…

A: see below the answer

Q: A boy is flying a kite and has used all 50 meters of string. If the angle of elevation is 12…

A:

Q: Please help me salve

A:

Q: The angle of elevation from a park bench 778 feet from the base of the Gateway Arch in St. Louis, MO…

A: This problem can simply get solved by trigonometry. Let us use following figure for reference Now…

Q: 2. From an airplane at an altitude of 1200 m, the angle of depression to a building on the ground…

A: Since you have asked multiple question, we will solve the first question for you. If youwant any…

Q: 12) The angle of elevation to the top of empire state building is from the ground at a distance of 8…

A:

Q: From the 108 meters lighthouse, the angle of depression of a boat at sea is 27 degrees. Find the…

A:

Q: A radio tower is located 300 feet from a building. From a window in the building, a person…

A:

Q: A radio tower is located 325 feet from a building. From a window in the building, a person…

A:

Q: The angle of depression from a window to a rock to the ground is 67.8 degrees. What is the angle of…

A:

Q: A side of the triangle below has been extended to form an exterior angle of 68°. Find the value of…

A:

Q: To measure the height of President Abraham Lincoln's caricature on Mt. Rushmore, two sigħting 800 ft…

A:

Q: A side of the triangle below has been extended to form an exterior angle of 72°. Find the value of…

A:

Q: The angle of elevation to the top of the Empire State Building in New York is found to be 13 degrees…

A: Using trigonometry, tan 13 = h/1355 h = 1355*tan 13  h = 1355* 0.23 h = 312.826 meters

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.