The original Mona Lisa painting has a height of 30 in. It is hung in Le Louvre in Paris, with the bottom of the painting sitting 60 in above the floor. At what distance will some tourists’ children, whose eyes are level with a spot 50 in up the wall, receive the largest (optimal) viewing angle? Sketch the situation, labeling all distances.

Q: Consider an isosceles triangle whose leg measures 2 cm. Let  be the vertex angle (the angle between…

A:

Q: How far away from the base of the house must the ramp be placed?

A:

Q: A 35-foot ladder is leaning against the side of a building and is positioned such that the base of…

A: Length of the ladder = 35 foot Base of the ladder is 21 feet from the base of the building. We can…

Q: Drag a pair of corresponding angles into the boxes and describe their relationship.

A: ∠PRQ and ∠SUT are congruent

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: A light bulb is to be hung above the center of a round table. What height gives the best…

A: The intensity of illumination is given by  Where θ is the angle of incidence and d is the distance…

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

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: What is the sum of the exterior angle measure in any polygon?

A: Topic: geometry

Q: The larger of two supplementary angles exceeds the smaller by 180. Find them.

A: For two supplementary angles ‘x’ and ‘y’ the given conditions can be written from the information…

Q: A ship is sailing due north at 12 km/h while another ship is observed 15 km ahead, travelling due…

A:

Q: When she was younger, Mary had to look up at a 46° angle to see into her father's eyes whenever she…

A:

Q: On one side of a paved path walk is a pedestal with a flagstaff on top of it. The pedestal is 2m in…

A:

Q: From the top of a 550-foot cliff, a hiker looks down at a river below. Her angles of depression to…

A:

Q: Clint is building a wooden swing set for his children. Each supporting end of the swing set is to be…

A: diagram:

Q: Connor decides to increase the number of sides of a random polygon so that the sum of its interior…

A:

Q: The hypotenuse of a right triangle is twice as long as one of the legs. How long is the other leg?…

A:

Q: Consider a right angle triangle with side lengths a and a2, where the hypotenuse can be calculated…

A:

Q: As the number of sides of a regular polygon increases, the measure of each exterior…

A: We know that sum of exterior angles of polygon is 360°. In case of regular polygon all sides and all…

Q: Find the measure of an angle that is twice as large as its supplement.

A: Given: Let the required angle be 2x and the supplement angle be x

Q: The angle from the tee box to the green is 30° on a par 3, 185 yard hole as shown. How much higher…

A:

Q: Two observers A and B who are 462m apart find at the same instant that the angles of elevation of a…

A: Given that , AB=462 m find altitude h=?

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: 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: From the top of a 72 m high vertical cliff, a boat is 115 m away from the cliff. What must be the…

A: Given:- From the top of a 72 m high vertical cliff, a boat is 115 m away from the cliff. To find:-…

Q: 1. The lower edge of a picture is 4 ft., the upper edge is 9 ft above the eye of an observer. At…

A: The solution of given question is shown below.

Q: In construction, floor space must be given for staircases. If the second floor is 3.6 meters above…

A: Given that, second floor is3.6 meters above the first floor. step pattern is 28 cm of thread for 18…

Q: • A Statue 10m high is standing on a base of 2m high, If an observer's eye is 1.2 m above the…

A:

Q: A right triangle has one angle that measures 30°. What is the measure of the other acute angle?

A: Sum of all angle of a triangle = 180° Suppose triangle ABC,  One angle in right triangle = 90°…

Q: From the third floor of a tall building, the angle of depression of an object on the ground is 37.4,…

A:

Q: Alayna is trying to determine the angle at which to aim her sprinkler nozzle to water the top of a…

A: Distance between tree and sprinkler = 4ft  Height of tree= 5ft

Q: In order to meet ADA (Americans with Disabilities Act) requirements, a wheelchair ramp must have an…

A:

Q: There are two lifeguard stations along the shoreline. Station B is 50 meters east of station A. A…

A: Given data: The distance between both stations is AB =50 m. The angle made by a swimmer with station…

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: Angelo is fencing off an area against the side of his warehouse. In the diagram below, you can see…

A:

Q: A large nest of recently hatched bald eagles is located at the top of the Eiffel Tower (which is 324…

A: Given: Eiffel Tower is 324 meters tall The tourist standing 54 meters away from Eiffel Tower Find…

Q: What best describes the pair of angles below?

A: Consider the given figure.

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: The distance across a pond is to be measured indirectly by using similar triangles .If XY = 160ft YW…

A:

Q: Find the measure of an angle whose complement is 4 times its measure.

A:

Q: Clint is building a wooden swing set for his children. Each supporting end of the swing set is to be…

A:

Q: 4. The base of a painting on a wall is a feet above the eye of an observer. The vertical side of the…

A: In above diagram ∠1 = θ, ∠2 = α

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

A:

Q: A trapezoid of height is 12 meters, has 22 meters lower base, and an area of 180 square meters,…

A: A trapezoid of height is 12 meters, has 22 meters lower base, and an area of 180 square meters,…

Q: What is the sum of the exterior angle measures, one at each vertex, of a triangle?

A:

Q: A rectangular field is 60 yards long. Its diagonal measures 75 yards. What is the measure of the…

A:

Q: Find the measure of an angle that is half as large as its complement.

A: let the measure of the angle is m∠Aand measure of its complement angle is m∠B. sine it is given that…

Q: A ________ measures the acute angle that a path or line of sight makes with a fixed north-south line

A: A Bearing measures the acute angle that a path or line of sight makes with a fixed north-south line.

Q: At what minimum height above ground level must I place a satellite dish so that, when pointed upward…

A: According to the question: