100 ft path 40 horizontal 5°

Q: A rocket is fired from the ground at some angle and travels in a straight path. When the rocket has…

A:

Q: A Janitor is having a short nap in the shade under a tree that is 100m from the base of the tower.…

A: Let's find.

Q: A state trooper is hidden 35 feet from a highway. One second after a truck passes, the angle …

A: Solution: Let AB =35 feet, θ=15°

Q: 3. A 28 ft-long ladder leaning against a wall makes an angle of 70° with the ground Determine the…

A: Length of ladder = 28 ft Angle made by ladder on ground=70 degree Vertical height h=?

Q: The angle of elevation to the top of a building changes from 20° to 40° as an observer advances 75…

A: The initial angle of elevation is 20°, the final angle of elevation 40°, and the change in position…

Q: An airplane traveling at 400 mph at a cruising altitude of 7.1 mi begins its descent. If the angle…

A: NOTE: Refresh your page if you can't see any equations. . v=velocity is 400 mph h=initial height =…

Q: At a point 200 ft from the base of a cliff, Journey sees the top of the cliff through an angle of…

A: The base of the right-angled triangle is 200 ft. The angle made by the top of the cliff from the…

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

A:

Q: A 16 ft ladder is leaning against a house. The ladders angle of elevation is 47 degrees. How far…

A: Let the ladder be represented by AB where A is the end of ladder that is on ground and B is the end…

Q: A sailor wants to anchor his sailboat 30 m from a lighthouse that is 12 m tall. Determine the angle…

A: We have to find angle of elavation

Q: An engineer stands 145 feet from a building. He uses a transit telescope that stands 5 feet from the…

A: Redraw the diagram and label the the dimensions of triangle formed by dotted lines.

Q: The Washington Monument is 555 feet high. If you are standing one quarter of a mile, or 1320 feet,…

A: Given Height of monument (H) = 555 ft Distance between monument's base and you = 1320 ft

Q: A tree standing vertically on level ground casts a 137 foot long shadow. The angle of elevation from…

A: Given that a tree standing vertically on level ground casts a 137 foot long shadow. The angle of…

Q: Find the angle of elevation from point C to point A.

A: Given, ∠A=58°, AB=6m,  ∠B= 90°

Q: the toronto stock exchange is housed in the exchange tower. From the top of the building, the angle…

A: Given: θ=55.6° According to given data figure will be as follows: Where; h is height of building…

Q: A woman is watching a launched rocket currently 13 miles in altitude. If she is standing 3 miles…

A: The given information ( Rocket altitude = 13 miles and women standing at 3 miles from the launchpad…

Q: At a point on the ground 54.0m from the foot of a tree, the angle of elevation to the top of the…

A: Given:

Q: A man standing on a 45m building high, has an eyesight height of 1.5m from the top of the building,…

A:

Q: A telephone pole is 55 feet tall. A guy wire 80 feet long is attached from the ground to the top of…

A: According to the question the figure is,

Q: A surveyor is measuring the distance across a small lake. He has a set up his transit on one side of…

A: Let T=Transit , P=piling , Q= pier We draw the situation roughly. TP=120 ft and PQ=d and angle QTP=…

Q: Find x, the angle of depression from the top of a lighthouse that is 188 ft above water level to the…

A:

Q: 3. Find the height of a tree if the angle of elevation of its top changes from 20° to 40° as the…

A:

Q: Find the angle of elevation of the sun when a 22 ft. tree casts a shadow 15 R. long on level ground.

A:

Q: Find the angle 0 between 0 radians and 2T radians that is coterminal with the angle (a) - radians.…

A: Due to our guidelines we can only answer one question at a time, therefore I will be answering first…

Q: A building 210 feet tall casts a 50 feet shadow. If a person looks down from the top of the…

A:

Q: Find x, the angle of depression from the top of a lighthouse that is 156 ft above water level to the…

A: The given figure is: To find x

Q: An airplane traveling at 600 mph at a cruising altitude of 6.9 mi begins its descent. If the angle…

A:

Q: A rectangular box has length 11 inches, width 20 inches, and a height of 7 inches. Find the angle…

A:

Q: From an airplane at an altitude of 1,289 m, the angle of depression to a rock on the ground measures…

A:

Q: Find the height of a tower if the angle of elevation of its top is 68° and when seen from point P on…

A:

Q: A plane takes off at an angle of 6°. After traveling for one mile, or 5280 feet, along this flight…

A: Angle of elevation=6 degree

Q: An airplane traveling at 400 mph at a cruising altitude of 7.1 mi begins its descent. If the angle…

A: Given problem:- An airplane traveling at 400 mph at a cruising altitude of 7.1 mi begins its…

Q: The height of an inaccessible cliff needs to be calculated. From a boat, which is 187 meters out…

A:

Q: A buoy is floating in the water near a lighthouse. The height of the lighthouse is 18 meters, and…

A:

Q: Find x, the angle of depression from the top of a lighthouse that is 173 ft above water level to the…

A: We have to find the angle x.

Q: An airplane traveling at 600 mph at a cruising altitude of 7.5 mi begins its descent. If the angle…

A:

Q: . A monument is 550 feet high. If you are standing one quarter of a mile, or 1320 feet, from the…

A:

Q: A rectangular box has length 5 inches, width 18 inches, and a height of 13 inches. Find the angle…

A:

Q: A wind tower at the top of a hill casts a shadow 30 m long along the side - the hill. An observer at…

A:

Q: A road is inclined at an angle of 6°. After driving 4600 feet along this road, find the driver's…

A:

Q: A person in a small boat, offshore from the vertical cliff known to be 100 feet in height, takes a…

A: Given  It has to find distance from a person to base of plateau. Here p=100 feet's

Q: A pole casts a shadow of 30 ft at one time and a shadow of 15 ft at a later time when the angle of…

A:

Q: A man is lying on the beach flying a kite he holds the end of the kite string at ground level and…

A: If you like the solution then please give it a thumbs up.... The Answer is:       Result ≈  344.72…

Q: A mountain cabin is built on the side of a hill with a porch extending over a portion of the…

A: The diagram is shown below:

Q: A surveyor is standing 118 feet from the base of the Washington Monument. The surveyor measures the…

A: tan∅=h/base of the mounment. tan78=h/118

Q: An airplane traveling at 600 mph at a cruising altitude of 7.1 mi begins its descent. If the angle…

A:

Q: The angle of elevation to the top of a building changes from 20° to 40° as an observer advances 75…

A: To find the height of the building

Q: A building that is 225 feet tafl casts a shadow of various lengths as the day goes by. An angle of…

A:

Q: A helicopter is hovering 78 feet above a landing pad. If the man is 81 feet from the landing pad,…

A:

Q: A hawk is sitting on top of a tree that is 15 ft. High. It is watching a rabbit that is 18 ft. from…

A:

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.