he angle that the top of a tree makes with the horizon is 59∘. The distance that the measurement of the angle is made from the base of the tree is 72 feet. How tall is the tree in feet?

Q: A 15 foot ladder is leaning against the side of a building. The angle of elevation between the…

A: Here we will find height of side of building where ladder can reach,

Q: The town of Sofia Germain has a smokestack that is 160 feet high. A guy wire must be fastened to the…

A: Given the height of a smokestack is 160 feet. And a guy wire must be fastened to the smokestack 45…

Q: The angle of depression from the top of a 120 m high vertical cliff to a boat B is 16°. ....... 16°…

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: Jeriel leans a 26-foot ladder against a wall so that it forms an angle of 61° with the ground.…

A: It is given that the ladder is of length 26 foot and the angle form between the ladder and ground is…

Q: The Statue of Liberty is about 151 feet tall. If the angle of elevation from a tree in Liberty State…

A:

Q: Haley planted a new tree in her yard.  To help the tree to grow upright, she attached support wires…

A:

Q: A right triangle has a 45 degree angle. The hypotenuse is twelve. What is the length of the other…

A:

Q: A side and a diagonal of a parallelogram are 12 inches and 19 inches respectively. The angle between…

A: length of other diagonal is 10.22 inches detailed solution is given below

Q: The Tour Montparnasse in Paris is 210 m high. From his position on the street, Tom measures the…

A: As per Bartleby guidelines for more than one question asked only one is to be answered please upload…

Q: During a figure skating routine, Jackie and Peter skate apart with an angle of 15° between them.…

A: Given the angle = 15 degree Jaekie skates 5m Peter skates 7m. We have to find the value of x.

Q: 3. The angle of elevation of a building 80 m high from a man on the ground is 50°42'. How far is the…

A:

Q: Amari is six feet tall and measure the angle between the horizontal and a bird in the sky to be 40°.…

A: Given:   To determine: length AE

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

A:

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

A:

Q: Brian's kite is flying above a field at the end of 65 m of string. If the angle of elevation to the…

A: Given the length of string of kite = 65 m angle of elevation of kite from ground Let the height of…

Q: In a TLE class, a student wants to cut a portion of a circular cloth with a radius of 12 cm. What is…

A:

Q: A triangular swimming pool measures 42 feet on one side and 68 feet on another side. These sides…

A:

Q: John leans a ladder against a house to reach the bottom of a window 30 feet above the ground. As…

A:

Q: A 18 foot ladder rests against a wall. The ladter makes a 65 angle with the ground. How far from the…

A:

Q: A 50ft tower is located on the edge of a river. The angle of elevation between the opposite bank and…

A:

Q: A geodetic engineer is 80 meters from the base of a dam. The angle of elevation to the top of the…

A:

Q: In a triangle, one angle is equal to 60" Find the obtuse angle formed by angle bisectors of the…

A: Considering triangle ABC, Given, Angle A= 60° Let the bisector of angle B and C meet at O.

Q: Two guy wires from the top of a 40-foot tent pole are anchored to the ground below by two stakes. If…

A: We sketch the situation roughly  AB is the pole. C and D are two stakes.  We have to find CD=?

Q: The angle of depression of a submarine from another ship is 28°. The submarine is 791 ft from the…

A:

Q: To measure a stone face carved on the side of a​ mountain, two sightings 750 feet from the base of…

A:

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

A:

Q: A geologist measured the angle of elevation to the top of a mountain to be 39°. From a point 200…

A:

Q: A person noted that the angle of elevation to the top of a tree was 65° at a distance of 11 feet…

A:

Q: In a right triangle, the bisector of the right angle divides the hypotenuse into segments that…

A:

Q: From the top of a lighthouse 96 feet high, the angle of depression to a small boat is 37.1658°. How…

A: Follow the procedure given below.

Q: a right triangle has one angle that measures 37 degrees. what is the measurement of the other angle?

A: Given a right triangle has one angle that measures 37° Since, given triangle is right triangle…

Q: A telephone pole is 54 feet tall. The measure of the angle from the ground o the guy wire is 58'.…

A:

Q: Find the measure of an angle whose complement is 4 times its measure.

A:

Q: The angle of elevation from the top of a 95 foot tall building to a hot alr balloon in the sky is…

A: According to trigonometric ratios, .

Q: A windshield wiper rotates through a 120° angle as it eleans a windshield. From the point of…

A: Given a windshield wiper rotates through a 120° angle as it cleans a windshield. we have to find the…

Q: a. Determine the measure of an angle whose measure is 14 times that of its supplement,

A: # As per the guidelines we are entitled to solve one question at a time, please resubmit the other…

Q: A ladder leaning against the wall makes an angle of 74° with the ground. the base of the ladder is…

A:

Q: The length of a shadow of a flagpole 55.20 ft. tall is 27.65 ft. Find the angle of elevation of the…

A: The length of a shadow of a flagpole 55.20 ft. tall is 27.65 ft. Let θ be the angle of elevation of…

Q: Luke is flying a kite and realizes that 400 feet of string are out. The angle of the string with the…

A:

Q: In the evening, a tree that stands 12 ft tall casts a shadow. If the angle of depression from the…

A: Consider the provided information, The graph is shown below, Find the length of the shadow.

Q: The angle of depression of a submarine from another ship is 28 degrees. The submarine is 791 feet…

A:

Q: Brothers Bob and Tom Katz buy a tent that has a center pole 6.25 feet high. If the sides of the tent…

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: How long is the ladder which makes an angle of 30° with the side of the house and whose foot is…

A: Given: The ladder makes an angle of 30° with the side of the house and whose foot is 204cm away from…

Q: 4) The airplane door is 19 feet off the ground and the ramp has a 31° angle of elevation. 19 ft 31…

A: Given: The airplane door is 19 feet off the ground and the ramp has a 31° angle of elevation. To…

Q: an airplane door is 19 feet off the ground and the ramp has a 31 degree angle of elevation. what is…

A: given,

Q: A man standing on top of a building 60.0 feet tall is looking at the building next door. He notices…

A:

Q: A lighthouse keeper is in the top of a lighthouse 95 feet above sea level. She notes that the angle…

A: NOTE: Refresh your page if you can't see any equations. . here we have AB=95 BC=x C=6

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.