If the width of the frame is 3 feet, and the height is 8 feet, how long must the diagonal cross section be in order to ensure that it forms a right angle? (Round to the nearest tenth).

Q: A piece of wire is attached from the top of a 45 foot utility pole to a stake in the ground. If the…

A:

Q: 3. If a guy wire for a tree is 14 ft long, making 41° angle with the ground, how far is the base of…

A: “Since you have posted multiple questions, we will solve first question for you. To get remaining…

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

A:

Q: If the base of an isosceles triangle has a length of 16 inches and the measure of the vertex angle…

A:

Q: softball the distance from home plate to first base is 60 feet, as is the distance from first base…

A: Let 'd' be distance thrown by catcher standing on home plate to shortstop standing on second base…

Q: On a particular day, the distance of the Earth to the sun was 9.2x107 mi. and the distance from Mars…

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

A: We have to find

Q: Relative to the acute angle θ, the three sides of a right triangle are the ________ side, the…

A: Explanation: The longest side of the right triangle, which is also the side opposite the right…

Q: A garden shaped like a rhombus has a perimeter of 100 feet and a 60 degree angle. Find the…

A: Rhombus has 4 equal sides. Perimeter = 100 feet so each side = 100/4 = 25 feet

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 railway is in the shape of an arch, at an angle of 28 . if the radius of the inner edge is…

A: To find- Difference in length of outer and inner edge.

Q: From a second storey of a building window directly across the street, the angle of elevation of the…

A:

Q: If the angle of elevation from the ground to a tree is 40° from 108 feet away, how tall is the tree?

A: Let AB be the tree and C is the point on the ground. According to question, BC=108 feet and ∠C=40°.…

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: An extension ladder, which is 65m long, rests on top of a hook-and-ladder truck. The base of the…

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 51-foot wire running from the top of a tent pole to the ground makes an angle of 57° with the…

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: The diagonals of a parallelogram are 26.7 meters and 39.4 meters. If they meet at an angle of…

A: Given information: The diagonals of a parallelogram are 26.7 meters and 39.4 meters. The angle…

Q: A 12-ft-long ladder is leaning against a wall and makes an 80° angle with the ground. How high up…

A: first of all we draw the diagram for given situation,

Q: A loading ramp 10 feet long that makes an angle of 18° with the horizontal is to be replaced by one…

A: According to the question , we can draw the following diagram: Let say, AC is the old ramp, which…

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: The sides of a parallelogram are 16 m and 10 ​m, and the longer diagonal makes an angle of 18° with…

A: the diagram of the given problem is, let the length of diagonal AC is d.

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: For safety, in climbing a ladder against a wall, the ladder should ideally make an angle of 75…

A: cos x = adjacent/hypotenuse

Q: You are putting together the frame of a fence gate as shown below: If the width of the frame is 3…

A: We know in a right angle triangle the formula of Pythagoras theorem is,…

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

A:

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

A:

Q: For safety, in climbing a ladder against a wall, the ladder should ideally make an angle of 75° with…

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: If a wagon wheel had 10 more spokes, the angle between spokes would decrease by 3°. How many spokes…

A: Given data is : A wagon wheel has 10 more spokes, the angle between spoke is decrease by 3∘ To find…

Q: A ladder rests against a building at a point that is 95 feet from the ground. If the ladder makes a…

A: A ladder rests against a building at a point that is 95 feet from the ground.The ladder makes a 37°…

Q: An observer saw a canoe 8 meters below the cliff that makes a viewing angle with respect to the…

A: Given conditions can be drawn as follows, Here, Angle of depressions 30o and angle ABC are…

Q: From the top of a fire tower, a forest ranger sees his partner on the ground at an angle of…

A: We know that the trigonometric ratio of tangent is  tan(x) = perpendicular / adjacent  tan(x) =…

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

A:

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

A:

Q: A large weather balloon is tethered by two ropes. The shorter rope is measures 20 feet and attaches…

A: The shorter rope is measures 20 feet and attaches to the balloon at an angle of 32 degrees from the…

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: How long should an escalator be if it is to make an angle of 36° with the floor and carry people a…

A:

Q: Suppose your angle of elevation to the top of a water tower is 78°. If the water tower is 145 ft…

A: Here we will use the concept of trigonometry and find the solution. We have to find the distance…

Q: A kite is flying at a 28° angle on a 300 ft string. Assuming the string is straight,how high is the…

A:

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

A:

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.