A large weather balloon is tethered by two ropes. The shorter rope is measures 20 feet and attaches to the balloon at an angle of 32 degrees from the ground. How high is the balloon?

Q: the angle of inclination from the base of skyscraper A to the top of the skyscraper B is approx 10.6…

A: We have, the angle of inclination from the base of skyscraper A to the top of the skyscraper B is…

Q: Two buildings of equal height are 800 feet apart. An observer on the street between the buildings…

A:

Q: A retail company is installing a ramp outside its building to make it easier to roll merchandise on…

A: Find your answer below

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: How high does a 17-foot-tall temporary support post reach when it is positioned at a 30° angle to…

A: Let height be h and we know that in a right angle triangle  sinθ=side opposite to…

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

A:

Q: A 20 foot ladder leans against the a house forming a 75 angle with the house. Exactly how far is the…

A:

Q: The arm and blade of a windshield wiper have a total length of 34 inches. If the blade is 25 inches…

A:

Q: The stairs at a school with a height of 5.5 m are broken and totally fall apart. At an angle of 35…

A: Find your answer below

Q: A 90-foot escalator rises 28 feet vertically. What is the angle that the escalator makes with the…

A:

Q: A 32-foot tall Tadder rests against a vertical wall. If the top of the ladder reaches a point 18…

A:

Q: From a point on the floor the angle of elevation to the top of a door is 47°, while the angle of…

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: An 8 foot ladder is used to scale a 6 foot wall. At what angle of elevation must the ladder be…

A:

Q: A 20-foot support post leans against a wall, making a 70° angle with the ground. To the *nearest…

A: sin theta=opposite/hypotenuse

Q: Two man who are 475 m apart, find the angles of elevation of a kite between them are 28° and 42°,…

A: Given, two-man are 475 m apart, the angle of elevation of a kite between them are 28 and 42…

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: A 14-foot ladder is being used to get to the top of a 12-foot-tall wall. At what angle of elevation…

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

Q: A loading ramp is 18 meters long with a height of 7 meters. What iš the angle

A:

Q: A bike is 80 long and has an end height of a 3 feet, as shown below. what is the measure of angle…

A:

Q: The height of a radio tower is 350 feet, and the ground on one side of the tower slopes upward at an…

A: We have to solve the given problem.

Q: A 20 meter long cable is used to support a telephone pole, holding it perpendicular to the ground.…

A:

Q: A 100-foot vertical tower is to be erected on the side of a hill that makes a 6° angle with the…

A: ANSWER IS AS FOLLOWS:

Q: Bob, who is 2.2 m tall, is standing a distance of 15 m from a flagpole as shown below. From his…

A: Consider a point A on the flag pole such that point B and A are at the same level from the ground.…

Q: A person standing 388 feet from the base of a church observed the angle of elevation to the church's…

A:

Q: A radio transmission tower is 205 feet high. How long should a guy wire be if it is to be attached…

A: A radio transmission tower is 205 feet high . We find how long should a guy wire be if it is to be…

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: What is the angle of depression from the start of a 6-foot-high access ramp that ends at a point 40…

A: Given Data: The height of the ramp is: y=6 ft The distance between endpoints along the ground is:…

Q: From the top of a 213-ft lighthouse, the angle of depression to a shop in the ocean is 17°.  How far…

A:

Q: From the top of a 200 meters high building, the angle of depression to the bottom of a second…

A:

Q: A ranger in a 112 ft tower looks down at an angle of depression of 42 and spots a camper in trouble.…

A: We have to find out

Q: Two gears are adjusted so that the smaller gear, with a radius of 12.4cm, drives the larger one. If…

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 state trooper is hidden 30 feet from a highway. One second after a truck​ passes, the angle θ…

A:

Q: A 20-foot support post leans against a wall, making a 70° angle with the ground. To the *nearest…

A: We will use formula of sin(x) to solve this.

Q: From a building across the street, the angle of depression of the foot of an edifice is measured as…

A:

Q: The height of a radio tower is 680 feet, and the ground on one side of the tower slopes upward at an…

A: We have to find the length of wire.

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: A lot is in the shape of a triangle whose two sides measure 150 m and 100 m, with the angle between…

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: A state trooper is hidden 30 feet from a highway. One second after a truck​ passes, the angle θ…

A: A state trooper is hidden 30 feet from a highway. One second after a truck​ passes, the angle θ…

Q: What is the sum of the angle measures in this shape?

A:

Q: If a wagon wheel had 15 more spokes, the angle between spokes would decrease by 4°. How many spokes…

A:

Q: A 38 ft ladder leans against a building so that the angle between the ground and ladder is 82. How…

A: Given: A 38 ft ladder leans against a building so that the angle between the ground and ladder is 82…

Q: A NEWS helicopter flying at a height of 300 ft is filming emergency vehicles that are rushing to the…

A: From the diagram,

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: The cables attached to a TV relay tower are 100 m long. They meet level ground at an angle of 60.0°,…

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.