Mike needs to get on top of his roof which is 22 feet high and is using a straight ladder that is 32 feet long. If he wants to position the ladder so that it is 50 feet away from the house will he be able to climb the ladder and make it on top of the roof

Q: Mark wants to watch the movie "Endgame", where should he sit to get the best view of the movie, if…

A: Given: According to the given information. Consider the figure.

Q: The perimeter of a rectangle window is 42ft. The width of the window is 5 feet more then the length.…

A:

Q: Brandon is on one side of a river that is 50 m wide and wants to reach a point 200 m downstream on…

A: Let B=Brandon, A=his opposite point, C= point he wants to reach Let he will swim upto D. And then…

Q: The shorter leg of a right triangle is 9 cm shorter than the longer leg. The hypotenuse is 9 cm…

A:

Q: Stephano is renovating his apartment, which is at the  end of two corridors. The corridors of the…

A: It is a maximum distance calculation type  problem where we have to calculate distance of longest…

Q: One of two Supplementary angles is 8 times the measure of the other angle. Find both angles.

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Q: The foot of an extension ladder is 10 feet from a wall, while the top of the ladder reaches the top…

A: Given that the length of the ladder is 2 feet more than the height of the wallAnd foot of the wall…

Q: Jonny wants to build a fenced garden, and was able to purchase 44 feet of fencing on sale. He…

A: Jonny wants to fence the garden .  He has 44 feet of fencing material with him . We want to cover…

Q: The hypotenuse of a right triangle is 1 centimeter longer than the longer leg. The shorter leg is 7…

A: Let the shorter length = x And longer length = y Hypotenuse R = sqrt(x2+y2) 2

Q: The hypotemuse of a right triangle is 6 cm more than the twice of the shortest side.If the third…

A:

Q: Sue is planning to have a rectangular flower garden next summer.  She will enclose the gardem with…

A: Let the width of rectangular flower garden = x ft. So, length of rectangular flower garden = (3x-1)…

Q: Amy is 2 miles offshore in a boat and wishes to reach a coastal village 6 miles down a straight…

A:

Q: 4) When he got to the school, he knows that the stairs are 25 ft long and 24 ft high. Find how far…

A: We can draw the problem as: We have to find the length of AB.

Q: Jane wants to drive her tractor from point A on one side of her 5-mile-wide field to a point, B, on…

A: Speed is a scalar quantity and is calculated by dividing distance traveled and time taken to cover…

Q: Terrell lives 2% blocks away from his best friend. His school is 45 blocks away in the same…

A: Let the distance from Terrell House to his best friend, X1= 2(5/6)= 17/6=  And distance between…

Q: Stacy wants to put up a ladder against the wall of her house and climb up to fix the gutter. The…

A: the given figure for the given problem as follows  The gutter is at point A. The ladder is AE The…

Q: Sean wants to build a ramp for his grandmother. According to the Occupational Safety and Health…

A: Here we use the concept of the trigonometric ratios

Q: The shorter leg of a right triangle is 14 feet less than the other leg. Find the length of the two…

A: Given that ,  shorter leg of a right triangle is 14 feet less than the other leg and hypotenuse is…

Q: The hypotenuse of a right triangle is 11cm long.  One of its legs is 6cm long. Find the length of…

A: We use Pythagoras theorem (Hypotenuse)2= (perpendicular)2+(Base)2

Q: A hunter is standing on a riverbank and wants to reach his cabin, which is 8 miles west along the…

A: Let hunter runs x miles along the riverbank Speed = 5mph Time = x5 h Diagonal distance = 32+8-x2…

Q: The shorter leg of a right triangle is 7 feet less than the other leg. Find the length of the two…

A:

Q: The hypotenuse of a right triangle is 13 inches. One of the legs of the right triangle is 5 inches.…

A: The hypotenuse of a right triangle is 13 inches. one of the legs of the right triangle is 5 inches.…

Q: t ladder is leaning against a vertical wall. If the foot of the ladder is 8 feet from the wall, how…

A: The Pythagorean Theorem states that the sum of the square of the two shorter legs of a right…

Q: Find The cost of covering the floor

A: Through finding the total area of the turf , we can easily find the total cost. For finding area of…

Q: The shorter leg of a right triangle is 8 feet less than the other leg. Find the length of the two…

A: Let the other leg of a right angle triangle is x. So, the shorter leg of the right angle triangle is…

Q: The length of a rectangular field is 25 m more than its width. The perimeter of the field is 450 m.…

A:

Q: The hypotenuse of right- angled triangle is 6 metres more than twice the shortest side. If the third…

A:

Q: The shorter leg of a right triangle is 9ft shorter than the longer leg. The hypotenuse is 9ft longer…

A:

Q: Amy wanted to buy a squăre tablecloth which is slightly bigger than her square table. She is…

A: Given two table clothes areas are 642 and 325 sq.inchesUpon simplifying these the areas of the table…

Q: One leg of a right triangle is 1in. more than twice the other leg. The hypotenuse is √(29) in. long.…

A: Let the other leg is = x inch So the first leg is = 2x+1

Q: The shorter leg of a right triangle is 21 feet less than the other leg. Find the length of the two…

A:

Q: The length of the longer leg of a right triangle is 13 m more than three times the length of the…

A:

Q: The hypotenuse of a right triangle is V65 ft. The sum of the lengths of the legs is 11 ft. Find the…

A: Let one leg = x ft Other leg= (11-x) ft

Q: The length of one leg of a right triangle is 12 meters. The length of the hypotenuse is 8 meters…

A: Given information:The length of one leg of a right triangle is 12 meters. The length of the…

Q: From the point on the ground where a policeman is standir elevation to two criminals at the third…

A: Introduction: If a triangle is a right-angle triangle, then the trigonometric formula for this…

Q: The perimeter of a rhombus is 52 inches and one of it's diagonals has a length of 24 inches. Find…

A: Given that perimeter of the rhombus = 52 cm and Length of the one diagonal d1 = 24 cm.We know that…

Q: The shorter leg of a right triangle is 14 feet less than the other leg. Find the length of the both…

A: Given that shorter leg of right angle trangle is 14 ft less then other leg.  Let two legs of right…

Q: The height of two buildings are 30 m and 25 m respectively. If the distance between the two…

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

Q: The hypotenuse of a right triangle is 3 cm longer than one leg. The other leg is 9 cm long. Find the…

A: Use pythagorous theorem

Q: 2.) Holly wants to build a slide that is 24 feet long, but is not sure how high up she will need to…

A: Given that:                   Length of slide, s = 24ftDistance between slide and ladder, d = 8ft

Q: 2. Erwin stood 6 feet in front of Cenen, Marivic sat two feet away to Cenen"s left. How far was…

A:

Q: To wash a window that is 15 feet off the ground, Daniel leans a 17-foot ladder against the side of…

A: Given that, the window is 15 feet off the ground and the length of the ladder is 17 foot. The…

Q: I have a window that is 40 feet above the ground and a ladder that will reach 41 feet. To get to the…

A:

Q: man decided to build a wire fence along one straight side of his property. He planned to place the…

A:

Q: Rita needs to make a garden plot which has an area less than 18ft2 . The length should be 3ft longer…

A:

Q: Park Jimin wants to watch the movie "Endgame", where should he sit to get the best view of the…

A: consider the following figure  let D be the eye level  A be the upper end of the screen which is 12…

Q: A triangle has a hypotenuse that is 65 inches and the length of one of its legs is 25 inches what is…

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.