The angle of elevation to the top of a building changes from 20° to 40° as an observer advances 75 feet toward the building. Find the height of the building to the nearest foot.

Q: A passenger lift runs 680 ft up the side of a mountain from the base to an exit station. If the…

A:

Q: Find the degree measure of the angle formed by the hands of a clock at 5:00 in the afternoon.

A:

Q: What is the angle of elevation from the ground to the top of a 45-ft tree from 65 feet away? Round…

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: A tower that is 120 feet tall casts a shadow 167 feet long. Find the angle of elevation of the sun…

A:

Q: Convert the angle 330° in degrees to radians. Express your answer as a multiple of π.

A: We know that π radian=180° So, 1°= π/180 radian

Q: When a six-foot pole casts a four-foot shadow, what is the angle of elevation of the Sun? Round to…

A: A six-foot pole casts a four-foot shadow. Now the diagrammatic representation is,

Q: The shadow of a 60 foot tall pole is 100 feet long. What is the angle of elevation from the end of…

A:

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: What is the angle of elevation from the ground to the top of a 45-ft tree from 65 feet away? Round…

A: Given,          The ground to the top of a 45-ft tree from 65 feet away.

Q: A hunter is laying on the ground near a 15 foot tall tree. He sees his prey on top of the tree at an…

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: A train track through a mountain is 2400 feet long and makes an angle of 1.5° with the horizontal.…

A:

Q: what is the angle of elevation of the sun when a 47 ft mast casts a 32 ft shadow

A:

Q: Find the angle of elevation of the sun, in degrees, when a 12 meter tall telephone pole casts a 21.6…

A:

Q: The height of a tree is 70 meters. To the nearest degree, what is the angle of elevation of the sun…

A: The sides and the angles of a triangle are related by trigonometric functions. Trigonometric…

Q: From the top of a building that overlooks an ocean, an observer watches a boat sailing directly…

A: Firstly try to make the diagram of the given information and then observe. Use tangent of angle to…

Q: A twoer that is 100 feet tall casts a shadow 187 feet long. Find the angle of elevation of the sun…

A: Remark: For a right-angled triangle, we have tan(θ) = height/base Let the angle of elevation of the…

Q: If an airplane makes a 15 degree angle of elevation From the runway when it takes off the plane is…

A:

Q: What is the angle of elevation created with the ground when a flagpole with a height of 20 feet…

A:

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: A radio tower is located 400 feet from a building. From a window In The building, a person…

A:

Q: A building that is 240 feet tall casts a shadow 40 feet long. What is the angle of elevation 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: What is the angle of elevation of the sun when a 41-ft mast casts a 10 ft shadow?

A:

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

A:

Q: What is the angle of elevation of the top of the pole 10m high from an observer who is 10m away from…

A:

Q: On a particular sunny day, a 25 foot tall tree has a shadow of length 30 feet. Find the elevation of…

A: Consider object on an imaginary horizontal line which represent our eye level. Angle of elevation is…

Q: Suppose the Eiffel Tower is located 1000 feet from a building. From a window in the building, a…

A:

Q: A small plane takes off from an airport and begins to climb at a 10.08 angle of elevation at 5,000…

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: The angle of elevation from a rock on the ground to the top of a tree is 38°. If the rock is 20 feet…

A:

Q: From an airplane at an altitude (height) of 1200 m, the angle of depression to a rock on the ground…

A: Given,            From an airplane at an altitude (height) of 1200 m, the angle of depression to a…

Q: If the shadow cast by a 600 feet tall tree is 1648.48 feet, find the angle (to the nearest tenth of…

A: Let AB represents the tree and BC represents the shadow, Then angle C is the angle of elevation of…

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: 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: From a point on level ground 80 feet from the base of a building, the angle of elevation is 25.6°.…

A: We have to find approximate height of the building to the nearest foot where angle of elevation is…

Q: during the afternoon, an 18 foot tall tree casts a shadow 25 feet long. What is the approximate…

A:

Q: The angle of elevation to the top of Wayne Tower in Gotham City is found to be 14° from the ground…

A:

Q: Find the angle of elevation of the sun when a 20 ft. pole casts a shadow 40 ft. long on level…

A: NOTE: Refresh your page if you can't see any equations. . here we have AB=20 feet (height of the…

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 surveyor measured the angle of elevation of a flat spire as 15⁰ from a point on horizontal ground.…

A: Given data is : Angle of elevation of a flat spire as 15∘ from a point on horizontal ground. He…

Q: a tree casts a shadow of 10 meters when the angle of elevation of the sun is 65 degrees. find the…

A: Use height and distance concept

Q: The angle of elevation to the top of a flagpole is 40° from a point 30 meters away from the base of…

A: Let the height of the flagpole be h. In a right angled triangle, the tangent of an angle(other than…

Q: What is the angle of elevation to the nearest tenth of a degree to the top of a 35-ft building from…

A: Let the angle of elevation to the building be θ. The height of the building = 35 ft.

Q: A tower that is 155 feet tall casts a shadow 163 feet long. Foind the angle of elevation of the sun…

A:

Q: What is the angle of elevation of the sun when a 42-ft mast casts a 12 ft shadow?

A:

Q: How far from the door must a ramp begin in order to rise three feet with an 8° angle of elevation?

A: Note To Student : Thanks for posting your queries. But problem 6 can not be solved without some…

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.