If you place a 21-foot ladder against the top of a building and the bottom of the ladder is 12 feet from the bottom of the building, how tall is the building? Round to the nearest tenth of a foot.

Q: One end of a cable is attached to the top of a flagpole and the other end is attached 6 feet away…

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Q: If the hypotenuse of a right triangle measures 25 meters while a leg is 24 meters, what is the…

A: Since, The Pythagoras Theorem states that the sum of the squares ofthe two legs is equal to the…

Q: Each leg of an isosceles right triangle has a measure of 10 centimeters. To the nearest tenth of a…

A: Given, each leg of an isosceles right triangle has a measure of 10 centimeters.

Q: . An aircraft is vertically above a point which is 10 km West and 15 km North of a control tower. If…

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Q: A homeowner is to construct a 20° ramp to his front door to make it wheelchair-accessible.   How…

A: A homeowner is to construct a 20° ramp to his front door to make it wheelchair-accessible :

Q: If the hypotenuse of a right triangle is 10 in long and one of its legs is 5 in long, how long is…

A: Given, If the hypotenuse of a right triangle is 10 in long and one of its legs is 5 in long,…

Q: In a right triangle, if the length of the hypotenuse is 5 and the length of one of the other sides…

A: Pythagoras theorem: It states that, In a right angled triangle, the sum of squares of perpendicular…

Q: If the sun is  61°  above the horizon, find the length of the shadow cast by a building  78 ft…

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Q: If the altitude of an isosceles triangle is 58 centimeters and each of the two equal angles measures…

A: If the altitude of an isosceles triangle is 58 centimeters and each of the two equal angles measures…

Q: If the cube shown is 8 centimeters on all sides, what is the length of the diagonal, x, of the

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Q: If the sun is 66°above the horizon, find the length of the shadow cast by a building 91 ft tall.…

A: Given:

Q: A ladder leans against a house so a worker can climb up onto the roof. If the base of the ladder…

A: topic - Pythagoras theorem

Q: A gate casts a shadow that is 5 ft long. A nearby cactus is 9 ft tall and casts a shadow that is 15…

A: A gate casts a shadow that is 5 ft long. A nearby cactus is 9 ft tall and casts a shadow that is 15…

Q: The perimeter of a square is 54cm. Find the length of a diagonal, rounding to the nearest tenth.

A: Let a be the length of each side of square Perimeter of square =4a cm Acc to ques 4a =54 A=54/4…

Q: A right triangle has a side length of 10 feet and a hypotenuse length of 20 feet. Find the other…

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Q: If the length of the radius of the circle is 6, what is the area of the square? * Remember, the…

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Q: If the altitude of an isosceles triangle is 59 centimeters and each of the two equal angles measures…

A: Given that  The altitude of an isosceles triangle is 59 centimeters and each of the two equal angles…

Q: In a right triangle 30⁰60⁰90⁰, if the length of the longest leg is 10 in, what is the length of the…

A: A 30°60°90° triangle is a special right triangle whose angles are 30°, 60°, and 90°. The triangle is…

Q: In AMNO, the measure of ZO=90°, the measure of ZM=39°, and MN = 5.3 feet. Find the length of NO to…

A: Given,          In △MNO, the measure of ∠O=90°, the measure of ∠M=39° and MN=5.3 feet.

Q: What is the height of the tree in the figure to the nearest tenth of a foot?

A: The distance from the base of the tree where the angle of elevation is measured,d=75 ftThe angle of…

Q: Rafaela draws a pattern consisting of a number of similar equilateral triangles. The first triangle…

A: here the next length = 1.5*previous length  second triangle length =1.5*4 = 6 third triangle length…

Q: On a sunny​ day, a tree and its shadow from the sides of a right triangle. If the hypotenuse is 35…

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Q: if the sun is 64 above the horizon find the length of the shadow cast by a building 51 ft tall round…

A: In the given question we have to find the length of the shadow of 51 ft. tall building.

Q: In a right​ triangle, if the length of the hypotenuse is 34 and the length of one of the other sides…

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Q: Find the height of the triangle if the base is 3 and the area is 22

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Q: How far from the base of the house do you need to place a 15 feet ladder so that it exactly reaches…

A: We use Pythagoras theorem.

Q: If a right triangle has two legs which have measurements of 7 inches and 18 inches, the length of…

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Q: A ladder is leaning against the side of a 10m house. If the base of the ladder is 3m away from the…

A: Given,          A ladder is leaning against the side of a 10m house. If the base of the ladder…

Q: A triangle has a 13-inch side, a 14-inch side, and a 15-inch side. To the nearest tenth of an inch,…

A: Given Length of medeain drawn to 14in side is given by    Ma = 122b2+2c2-a2

Q: Find the length of side x to the nearest tenth. 3

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Q: If the altitude of an isosceles triangle is 56 centimeters and each of the two equal angles measures…

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Q: Find the length of the altitude to the 26-in. side of a triangle whose sides are 10, 24, and 26 in.…

A: Sides of the triangle are 10, 24 and 26 inches. Clearly, 102+242=262 Therefore the given triangle…

Q: A pole vaulter rested a 17-foot pole against a wall. If the top of the pole hit the wall 14 feet…

A: Explanation of the answer is as follows

Q: If a golden rectangle has a width of 18 feet, what is the length? (Round your answer to the nearest…

A: In a golden rectangle, the side lengths are in the golden ratio, which is, where is approximately…

Q: A statue is 52 cm tall. When its shadow is 68 cm long, the shadow of a certain tree is 30 m long.…

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Q: If the minute hand of a clock has a length of 6 inches, how far does its tip travel in 18 minutes?

A: The minute hand of a clock has a length of 6 inches

Q: The length of a shadow of a building is 26 m. The distance from the top of the building to the tip…

A: Use pythagorous theorem.

Q: In a right​ triangle, if the length of the hypotenuse is 13 and the length of one of the other sides…

A: Given problem is : In a right​ triangle, if the length of the hypotenuse is 13 and the length of…

Q: The base of a 30-foot ladder is 10 feet from a building. If the ladder reaches the flat roof, how…

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Q: The lengths of the legs of a right triangle are 6 and 10 what is the length of the hypotenuse to the…

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Q: Find the length of the third side. If necessary, round to the nearest tenth. in the picture

A: It is given that, The length of the perpendicular side of the right-angle triangle is, P=12 length…

Q: A bouncy ball is dropped such that the height of its first bounce is 5.5 feet and each successive…

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Q: In a right triangle 45⁰‐45⁰‐90⁰, if the length of the leg is 7in, what is the

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Q: A 45 foot ladder is set against the side of a house so that it reaches up 27 feet. If Latanya grabs…

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Q: 5. If both legs of a right triangle measure 6 inches, how long is the hypotenuse? Round your answer…

A: Given:- 5.If both legs of a right triangle measure 6 inches.  6.If a right triangle has legs…

Q: The bottom end of a ramp at a warehouse is 10 feet from the base of the main dock and is 11 feet…

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Q: What is the distance from Park A to Park B to the nearest tenth of a mile?

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Q: Find the length of the third side to the nearest tenth?

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Q: If you had a 15 foot ladder, How far away from the base of a wall would you have to put it to reach…

A: Q) If you had a 15 foot ladder, how far away from the base of a wall would you have to put it to…

Q: A 26 foot long ladder is leaning up against a house. If the ladder reaches a window that is 24 feet…

A: A ladder of length 26ft is leaning against a wall and it reaches a window that is 24 ft from the…