An aerial photograph is taken of a building. The photograph is made when the angle of elevation of the sun is 36 degrees. The shadow is determined to be 60 feet long. How tall is the building?

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

A: Since, it is given that in the evening a 12 ft tall tree cast a long shadow,Also, it is given that…

Q: The solar azimuth angle for a body whose length is half the length of its shadow is *

A:

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 Washington Monument in Washington, D.C. is 555 feet tall. If a tourist sees the monument with a…

A: The Washington Monument in Washington, D.C. is 555 feet tall and a tourist sees the monument with a…

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

A:

Q: A fisherman at sea observed that the angle of elevation of a cliff is 21°. What is the distance…

A:

Q: If a 20-foot ladder makes a 65. angle with the ground, how many feet up a wall will it reach? Round…

A: We can easily found height of wall it will reach by ladder by using sine of angle .

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

A:

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: As viewed from a cliff 360 m above sea level, the angle of depression of a ship is 28°. How far is…

A: The objective is to find how far is the ship from the base of the Cliff

Q: From a tower 150 feet high with the sun directly overhead, an airplane and its shadow have an angle…

A:

Q: A slide 4 m long makes an angle of 27 degrees with the ground. How high is the top of the slide…

A: Given,          A slide 4 m long makes a angle of 27 degrees with the ground.

Q: A lamppost casts a shadow of 18 ft when the angle of elevation of the Sun is 33.7°. How high is the…

A: Draw the diagram from the given information.

Q: . A lamppost casts a shadow of 18 ft when the angle of elevation of the Sun is 33.7°. How high is…

A: Length of shadow=18ft Angle of elevation=33.7 degree

Q: The Tower of Terror ride in Disney World, Florida is 199 feet tall. If Josh is standing 132 feet…

A: Given: The Tower of Terror ride in Disney World, Florida is 199 feet tall. If Josh is standing 132…

Q: A tree casts a shadow of 14.7 meters when the angle of elevation of the sun is 13.1 degrees. How…

A: A tree shadow of 14.7 meters  angleof elevation of the sun is 13.1 degrees. To find :- Height of a…

Q: A lamppost casts a shadow of 18 ft when the angle lamppost? Round to the nearest foot.

A: Explanation and solution is given below....

Q: If you stand 50 feet from the bottom of a movie screen and the screen is 80 feet tall, what is the…

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

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

A: Given: -

Q: 7) Find the height of a building that projects a shadow of 350 ft on the ground, if the angle of…

A: The height of the building that projects a shadow of 350 ft on the ground  and the angle of…

Q: An observer at the top of a building sees a car on the road below. The angle of depression to the…

A:

Q: A tower casts a shadow that is 154 feet long when the angle of elevation to the sun is 52°. How tall…

A: We use the definition of tan of an angle heretanθ =opposite sideadjacent side

Q: A surveyor in an airplane travelling east sees a lake in front of her. The angle of depression to…

A:

Q: Gabe can see the top of the fountain by looking up at an angle of 39o . If Gabe is 1.3m tall and the…

A: Given that Gabe can see the top of the fountain at an angle of 39 degree. If Gabe is 1.3 m tall and…

Q: A building 150 feet tall casts a 30 foot long shadow. If a person looks down from the top of the…

A: Given,

Q: A kite is 50 feet high when 170 feet of string is out. What angle does the kite make with the ground…

A:

Q: A person standing 188 ft from the base of a church observed the angle of elevation to the church's…

A: Given:  The person standing 133 ft from the base of church observed the angle of elevation to the…

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

A:

Q: From the top of a lighthouse 18 m high, the angle of depression to sighta boat is 4°. What is the…

A: From the top of a lighthouse 18 m high, the angle of depression to sight a boat is 4°. Let the…

Q: A 16 foot ladder leaning against a wall of a house makes a 50 degree angle with the ground. How far…

A: We can find the answer as below

Q: A park ranger, on top of a 200-- foot tower, spots a wolf at an angle of depression of 14°. How far…

A:

Q: A 500-ft guy wire is attached to the top of a communications tower. If the wire makes an angle of…

A: Given a 500 ft -guy wire is attached to the to a communications towerand makes an angle 65° with the…

Q: A 16 foot ladder leaning against a wall of a house makes a 50° angle with the ground. How far up the…

A: given: A 16 foot ladder leaning against a wall of a house makes a 50° angle with the ground. we have…

Q: When the angle of elevation to the sun is 37°, a flagpole casts a shadow that is 24.2 ft long. What…

A: Given, Angle of elevation to the sun is 37° Flagpole casts a shadow that is 24.2 ft long

Q: A person standing 100 feet from the bottom of a cliff notices a tower on top of the cliff. The angle…

A: Given that  A person standing 100 feet from the bottom of a cliff. The angle of elevation of the top…

Q: How tall is a bridge if a 6-foot tall person standing 100 feet away can see the top of the bridge at…

A:

Q: A monument is 95 meters highAt an information booth, an observer notices the angle of elevation to…

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: A radio transmission tower is 180 feet high. How long should a guy wire be if it is to be attached…

A:

Q: The windshield wiper blade on Julia's car is 21 inches long. Each swipe of the wiper makes an angle…

A: θ=lr Where l is length of arc and r is radius.

Q: A building 290 feet tall casts a 100 foot long shadow. If a person stands at the end of the shadow…

A: Given,Height of building = 290 feetShadow length = 100 feetThe person’s height = 5 feet

Q: How tall is a building that casts a 75​-ft shadow when the angle of elevation of the sun is 35°​?

A: height of building =?

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

A: Answer is in below step

Q: a person is standing on the roof of a building and is 34 feet away from the base of the building.…

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

Q: A person standing 239 feet from the base of a church observed the angle of elevation to the church's…

A: Angle of elevation = 44°  Distance from the base of church = 239 feet. Height of church =?

Q: From the top of a 156 foot lighthouse, the angle of depression to a ship in the ocean is 40°. How…

A:

Q: A 16 foot ladder leaning against a wall of a house makes a 50° angle with the ground. How far up the…

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.