A tower 400 ft tall is near a shorter building, and the ground between them is horizontal. A person at the base of the tower measures a 65 degree angle of elevatoin to the top of the building. A person at the top of the tower measures a 15 degree angle of depression to the top of the building.  a) draw a diagram depicting this situation b)find the height of the building. Calculate the solution to the nearest tenth foot.

Q: From a window 30 feet above the level ground, a building 100 feet high, and at a distance of 200…

A:

Q: 2. At a point 160 feet from a building, and in a horizontal line in its base, the angle of elevation…

A:

Q: From a window, 30 ft above the street, the angle of elevation to the top of the building is 50…

A:

Q: a circle of radius 7, the length of the arc that subtends a central angle of 300 degrees is…

A:

Q: The angle of inclination from the base of skyscraper A to the top of skyscraper B is approximately…

A:

Q: From the top of a building 100 m high, the angles of depression of two cars due east of the observer…

A: I am attaching image so that you understand each and every step.

Q: A roof truss spans a width of 8.2 m. One piece of the truss is 6.8 m long and set at an angle of…

A:

Q: From the second floor of Building I, an observer estimates the angle of elevation to the top of…

A: Angle of elevation to top of building second is 75° and  the angle of depression to its base to be…

Q: From the top of a cliff 52 m. high, the angles of depression of the ship A and ship B due east are…

A:

Q: The Statue of Liberty is approximately 305 feet tall. If the angle of elevation from a ship to the…

A:

Q: A short-wave radio antenna is supported by two guy wires, 165 ft and 205 ft long. Each wire is…

A: Refer to the question, the sketch can be formed  from the given information as,

Q: A building is 50 ft high. At a distance away from the building, a person notices that the angle of…

A:

Q: The angle of elevation of point C from point B is 29 degrees; the angle of elevation from C from…

A: Use trigonometric ratio to find the required height.

Q: The angle of elevation from an observer to thetop of a building is 35°. If the observer is 155…

A: To height of the building is calculated by measuring the distance from the object and the…

Q: The angle of depression from the top of a building to the base of a car is 60∘. If the building is…

A:

Q: From a horizontal distance of 80.0 m, the angle of elevation to the top of a flagpole is 18°.…

A:

Q: The angle of elevation to the top of a building from a point on the ground is 22°. If the building…

A:

Q: The base of a ladder is 6 ft from the building, and the angle formed by the ladder and the ground is…

A:

Q: A 6-foot-tall mirror is leaned against a wall at an angle. A 5-foot-tall mirror is leaned against…

A: Triangles are similar when                      i) All the angles of the triangles are equal.…

Q: The angle of inclination from the base of the John Hancock Center to the top of the main structure…

A: Given that, The angle of inclination of the Willis Tower is 10.3°. The height of the Willis Tower is…

Q: From the top of a 158-ft lighthouse, the angle of depression to a ship in the ocean is 15°. How far…

A: Given that, From the top of a 158-ft lighthouse, the angle of depression to a ship in the ocean is…

Q: A car is travelling around a circular road whose diameter is 20 m. If the distance traveled by the…

A:

Q: To the nearest tenth, what angle of descent (angle of depression) must a plane 264,000 horizontal…

A:

Q: The angle of inclination from the base of skyscraper A to the top of skyscraper B is approximately…

A:

Q: A person standing on top of a 15-foot high sand pile wishes to estimate the width of the pile. He…

A:

Q: The height of a radio tower is 650 feet, and the ground on one side of the tower slopes upward at an…

A: Let the angle between the tower and the slope be theta.The angle between the tower and the base is…

Q: The height of a radio tower is 750 feet, and the ground on one side of the tower slopes upward at an…

A: The objective is to find the lengths of first and second guy wire.

Q: At a spot 400 feet from the base of a building the angle of elevation to the bottom of a flag pole…

A: To find height of flagpole

Q: The angle of elevation from the top of a small building to the top of a nearby taller building is…

A: Given angle of elevation 46° Angle of depression 14°

Q: Two buildings with flat roofs are 60 m apart. From the roof of the shorter building, 40 m in height,…

A: Solution of question is written in below steps.

Q: 8 in. 20 ft

A:

Q: The height of a radio tower is 750 feet, and the ground on one side of the tower slopes upward at an…

A: The height of the tower is 750 feet. and ground on one side of the tower slopes upward at an angle…

Q: A mine shaft is 300 m deep and has an angle of depression of 65°. How long is the shaft? (5) 300 m…

A:

Q: A billboard, 54 feet wide, is prependicular to a staright road and is 18 feet from the nearest point…

A:

Q: The angle of elevation from the top of one building to another is 26°. If the shorter building is…

A: We can use  the tangent to find this.........   tan 26°  =  (400  + h)1500     where (400 + h) is…

Q: From the second floor of Building I, an observer estimates the angle of elevation to the top og…

A: Given:  From the second floor of Building I, an observer estimates the angle of elevation to the top…

Q: From the top of a 25 meter tower erected at sea level, the angle of depression of a boat at sea was…

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: From a plane flying due east at 265 m above sea level, the angles of depression of two ships sailing…

A:

Q: a man, standing on top of a building that is 1,000 feet high, looks down with an angle of depression…

A: Given,The height of the building is 1000 feet.The angle of depression is 12 degree.Let AC be the…

Q: From a point on the ground 700 ft. from the base of a building, an observer finds that the angle of…

A: Distance from the base of the building to the observer = 700ft Angle with the top of the building =…

Q: A 45.0 – m guy wire is attached to the top of a 33.6 – m antenna and to a point on the ground. How…

A: The solution is given below

Q: The angle of elevation to the top of a building from a point on the ground is 24° . If the building…

A:

Q: At Sampaloc Lake, a boatman sights a buoy at an angle of 28° to the boat's path. He continues on the…

A: Given: At Sampaloc Lake, a boatman sights a buoy at an angle of 28 to the boat’s path. He continues…

Q: Two wires, 20 and 24 m long, are attached to the top of an unstable obelisk to help keep it from…

A: Given:

Q: Two buildings are 250 ft apart. From the top of the taller building, the angle of depression is 25…

A: I am attaching image so that you understand each and every step.

Q: Engineers want to measure the distance from P to Q, but the span from P to Q is across the tip of a…

A:

Q: For safety, the angle of a wheelchair ramo makes with the horizontal should be no more than 3.5…

A: Consider the figure given below :

Q: Two buildings with flat roofs are 15 m apart. From the edge of the roof of the lower building, the…

A:

Q: The angle of elevation from point A to the top of the cliff is 34°. If point A is 1,000ft from the…

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

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.