A statue 1.6 m tall stands on the top a pedestal. From a point on the ground the angle of elevation of the top of the statue is 60° and from the same point the angle of elevation of the top of the pedestal is 45°. Find the height of the pedestal.

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

A: Given that height of a flagpole AC = 55.20 ft Length of the shadow AB= 27.65 ft Need to evaluate…

Q: a 22-foot ladder leaning against a building makes a 70-degree angle with the ground. how far up the…

A:

Q: A 31-ft ladder leans against a building so that the angle between the ground and the ladder is 85°.…

A:

Q: Find the point on the terminal side of a 210 degree angle drawn in standard position whose distance…

A: Given:Measure of angle, θ=210 degreesDistance of point from origin, r = 2 units

Q: An engineer erects a 120 foot cellular telephone tower. Find the angle of the elevation to the top…

A: NOTE: Refresh your page if you can't see any equations. . here we have AB=120 feet (height of the…

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 300 meter cable wire is attached to the top of a tower from the ground. The angle of elevation to…

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 person standing 234 feet from the base of a church observed the angle of elevatlon to the church's…

A:

Q: A ladder 20 feet long leans against a building, forming an angle of 71° with the level ground. How…

A: Given,A ladder is 20 feet longforming an angle of 71° with the level ground.

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

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

Q: Mohal leans a 20-foot ladder against a wall so that it forms an angle of 72° with the ground. How…

A: Given: Height of ladder =20 ft Angle between ground and ladder = 72 To find: How high does ladder…

Q: the height of the antenn

A:

Q: A man 5 ft tall casts a shadow of 5 ft on the ground. Find the angle of elevation of the sun?

A: given height of a man is 5ftShadow of 5ft on the groundfind the angle of elevation of the sun?

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 107 feet tall building casts a shadow of 90 feet. To the nearest whole degree, what is the angle…

A: Given: -

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: To measure a stone face carved on the side of a mountain, two sightings 700 feet from the base of…

A: To sightings 700 feet from the base of the mountain the angle of elevation 34 degree

Q: A guy wire to a tower makes a 69 degree angle with level ground. At a point 33 feet farther from the…

A: Draw the given scenario as follows.

Q: an 35 foot ladder leaning against a house makes a 15 degree angle with the ground. How far up the…

A: The building, the ladder, and the ground form a right triangle.   where angle between ladder and…

Q: the sun hits a building of unknown height so that the building casts a shadow of 410 feet. if the…

A: It is known that for a right angled triangle,

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: The angle of elevation from a point 116 meters from the base of the Eiffel Tower to the top of the…

A: The given situation is described in a diagram as: where the angle of elevation is ∠A=68.8° and…

Q: 1) Charlie is standing 250 feet from the base of a tall building. If he determines that the angle of…

A: Since you have asked multiple questions in a single request we would be answering only the first…

Q: A 28-foot long piece of wire is attached to the top of a pole at one end and nailed to the ground at…

A: Wire length = 28 foot Angle = 30°

Q: An 8-foot ladder leaning against a wall makes an angle of 74 with the ground. How high up the wall…

A: Hey, since there are multiple questions posted, we will answer first question. If you want any…

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: The most powerful lighthouse on Lake Michigan is 50 m tall. Suppose you are in a boat just off the…

A:

Q: A surveyor set up his instrument at A and measured the angle of elevation of the top of a tower and…

A:

Q: A 36 -ft ladder leans against a building so that the angle between the ground and the ladder is 83…

A:

Q: A cable wire is used to support a tower 250 m tall. If the cable makes an angle of 72" with the…

A:

Q: A 6-meter long ladder is leaning against a wall. If the top of the ladder makes an angle of 450 with…

A: A 6-meter long ladder is leaning against a wall. If the top of the ladder makes an angle of 450 with…

Q: From a point of observation 135 meters from the base of a building, the angle of elevation to its…

A:

Q: The angle of elevation of the top of a flagpole from a point on the ground 30 m from the base of the…

A:

Q: A ladder 20 feet long leans against a building, forming an angle 71 degrees with the level ground.…

A:

Q: From a point on level ground 145 feet from the base of a tower, the angle of elevation is 52.6°.…

A: Given From a point on level ground 145 feet from the base of a tower, the angle of elevation is…

Q: To measure cloud height at night, a vertical beam of light is directed on a spot on the cloud. From…

A:

Q: 2.] From a point on a ship's deck 30 feet from the base of the mast, the angle of elevation of the…

A: Given the data :

Q: At a point on the ground 27.6 meters from the foot of a flagpole, the angle of elevation to the top…

A: The point is 27.6 meter from the foot of the flagpole, from that point the angle of elevation to the…

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

A:

Q: A woman is standing on the ground at a point 78ft from the base of a building. The angle of…

A: We have given that woman standing o the ground at a point 78 ft from the base of the bulding.Angle…

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

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

A: Let the height of the stone​ face is AB=h and the angle of elevation to the bottom of the face is…

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: A curious math student standing on the roof of a building 36 feet above the ground decides to…

A:

Q: An 18-foot ladder leans against a building so that the angle between the ground and the ladder is…

A:

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

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.