A man is walking away from a lamppost with a light source 6 m above the ground. The man is 2 m tall. How long is the man’s shadow when he is 10 m from the lamppost? [Hint: Use similar triangles.]

Q: Neil claims to have drawn a regular polygon with interior angles equal to 100°. find the value of n…

A: Given Data: Interior Angle: A=100° The interior angle of a regular polygon is, A=n-2180°n

Q: A piece of wood in the form of an isosceles triangle whose base angles measures 55°. If the length…

A:

Q: Draw and solve. A concrete octagonal pier of height 15 ft. is to be resurfaced. If each of the base…

A: Given that:  A concrete octagonal pier of height 15 ft and base edge = 1.5 ft

Q: A triangle has sides with length of 8 M 15 M and 17 M how long would the hypotenuse be

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Q: A right triangle has a base of 24 cm and a height of 16 cm. What is the approximate perimeter of the…

A:

Q: In the diagram of right triangle ABC,CD intersects hypotenuse AB at D. If AD = 4 and DB = 6, which…

A: Given,   To evaluate AC if CD is perpendicular of AB

Q: Mr. Alex designed a semicircle arch made of bent iron for the door of his garage. Suppose the…

A:

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: Two boards are resting against each other to form an isosceles triangle with the ground as shown in…

A: Heron's formula A = s(s-a)(s-b)(s-c) Where  a ,b and c are sides of triangle and s is…

Q: A girl used a ladder 6m long to climb the top of a dike whose sides are inclined 42 degrees with the…

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Q: What is the height of the triangle if the area is 90ft?

A: In this question we need to find a height of the triangle if the area is 90ft

Q: A right square pyramid has a slant height of 5 feet, and the length of a side of the base is 6 feet.…

A: Here we use Pythagoras theorem given as (Hypotenuse)2 = (Perpendicular)2 + (Base)2

Q: A trapezoidal lawn has an upper base of 16 meters and a lower base of 30 meters. the distance…

A:

Q: the sides of a right angled triangle are x cm for height,(x+1) cm for base,(x+2) cm for hypotenuse.…

A: We have to solve

Q: A right triangle has a hypotenuse of 24 cm and a height of 16 cm. What is the approximate perimeter…

A:

Q: An architect designed a semicircular tunnel so that two trucks can pass each other with a 3-foot…

A: (a) Given: Height of truck=12 feetWidth of truck=8 feetClearance between both trucks=3 feetVertical…

Q: Two regular octagons have perimeters 16 cm and32 cm, respectively. What is the ratio of their areas?

A: Given the perimeters of the reegular octagons are 16 cm and 32 cm. Thus for the first regular…

Q: The areas of two similar triangles are equal to 64 cm2 and 81 cm2. What is the ratio of their…

A: Let's find ratio of their corresponding altitudes.

Q: A right triangle has two equal sides. If the hypotenuse is 20 meters, what is the length of the…

A: Given  In a right triangle  Hypotenuse = 20m  Other two sides are equal.

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

A:

Q: a triangle has an area of 38.4 squared cm. The height of the triangle is 12.8 cm. What is the length…

A: A triangle has an area of 38.4 squared cm. The height of the triangle is 12.8 cm.

Q: Solve for the missing information, given that the two triangles are SIMILAR. 12 cm 7 cm (If a…

A: Given two similar triangles: Let △ADE~△ACE in which AD=7, DE=10, AC=12, BC=14. To find x and y,…

Q: An isosceles triangle has congruent sides of 20 cm. The base is 10 cm. What is area of the triangle?

A: Then using Pythagorean theorem we find the height of the triangle . Pythagorean theorem is given…

Q: The area of an equilateral triangle with sides of length s is given by A O True = A = √2. False

A:

Q: The cage containing exotic birds is in the shape of a pentagonal prism. If the side length is 17…

A: We will solve the following.

Q: If a right triangle has a hypotenuse that measures 31.1 m, and one of the legs measures 19 m, how…

A: We have to solve the problem by pythagorus law.

Q: An isosceles right triangle has a hypotenuse of length 10 cm. How long is each leg?

A: In a right triangle, the relation between legs a and b and hypotenuse h is states as follows:…

Q: 1. The school is planting a circular garden. If the diameter of the garden is 6 ft, what is the…

A:

Q: When a right angle is rotated about one leg, the volume of the cone produced is 800 cm³. When the…

A:

Q: In an isosceles triangle with vertex angle of 60° and legs 10 m long, the length of the base is____?

A: The vertex angle of the isosceles triangle is 60° and legs are 10 m long. Then the sum of the other…

Q: An equilateral triangle has an altitude of 6 cm. What is the length of the sides?

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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: A landowner says that his property is triangular, with one side 475 m long and another side 350 m…

A: We need to find possible lengths of triangles.

Q: The radius of the base of a riught circular cone is 2m and its height is 3m. What is the slant…

A: The redius of the base of a right circular cone is 2m and its height is 3m .then we find the slant…

Q: An architect designed a semicircular tunnel so that two trucks can pass each other with a 3-foot…

A: Let radius of semicircular tunnel be r, then its diameter will be 2r. Given: Height of truck=12…

Q: A 25 m tall flagpole casts a shadow that is 10 m long. At the same time, a nearby office building…

A:

Q: A Norman window has the shape of a semicircle atop a rectangle so that the diameter of the…

A:

Q: The area of a circle circumscribing about an equilateral triangle is 78.54sq. m. What is its radius?

A: Given : the area of circle 78.54 m2            Area of circle =π r2                where r=radius of…

Q: From a circular piece of metal sheet with diameter 20 cm, a rectangular piece with perimeter 28 cm…

A: Approach :  The diagonal of rectangle becomes equal to the diameter of the circle.

Q: 2) An equilateral triangle has an altitude of 15cm. How long is each side and what is the area?

A: Hello. Since your question has multiple parts, we will solve the first question for you. If you want…

Q: What happens to the inscribed polygon as the number of its sides increases?

A: topic - polygon

Q: The floor of a gazebo has the shape of a regular octagon with side length 1.2 m and is made of cight…

A: Topic:- geometry

Q: A hexagon is inscribed in a circle. If the difference between the area of the circle and the area of…

A: The side of the hexagon and the radius of the circle will be the same, consider a. The difference in…

Q: What is the formula to find the length of a triangle?

A: If the lengths of the sides are a,b,c then the length is represented by the perimeter  of triangle…

Q: What is the perimeter of an equilateral triangle whose area is 75/3' sq. cm? A person standing 40 ft…

A: We have to solve the given question .  Area of equilateral triangle is √3a2/4

Q: A square pyramid has a height of 12 feet and a base of 5 feet. In order to double the V = B 3 %3D

A: Here we will find correct option/s,

Q: In a symmetrical trapezium the inclination angle of the diagonal to the longer parallel base is 45°,…

A: area of trapezium problem.....

Q: The perimeter of a square is 56 cm. What is the approximate length of its diagonal?

A: We have to find diagonal

Q: Consider a right triangle whose hypotenuse has a length of 53 in. If one leg is 17 in longer than…

A: Given: Length of 53 in One leg is 17 in