Geometry Answers

An engineer wishes to measure the diameter of a hole in the ground, but his tape measure isn't long enough. He places stakes at points A and B on opposite sides of the hole, then places a third stake at a point C at the edge of the hole somewhere between A and B. His tape is long enough to measure the distance from C to A at 28 feet and the distance from C to B at 26 feet. From the point C, the angle between the lines AC and CB is 158°. How far is it from A to B?

Gadongville and Ledesma Subdivision are two villages located on opposite sides of an island. Hacienda Alcayde is located well away in the island and has a straight highway connection to each village. It is 84.6 miles from Gadongville to Hacienda Alcayde and 33.8 miles from Hacienda Alcayde to Ledesma Subdivision. A surveyor notes that the highway from Ledesma Subdivision to Hacienda Alcayde makes an angle measure of 63°20¢ with the line of sight from Ledesma Subdivision to Gadongville. How far apart are the two villages?

A kite is held fast by a taut line 220 feet long. If the line makes an angle of 21°40¢ with the horizontal, how high is the kite above the ground when its line is fastened to a post 6 feet above the ground?

The City of Manila has an ordinance stating that business signs may be no more than 6 feet tall. Bill’s Boots erected a boot–shaped sign high above the ground. Having no ladder, Jiggerface, a code enforcement officer, measured the height of the sign by measuring the angles of elevation to the bottom and top of the sign. Standing 10 feet away from the base of the sign, he measured the angle to the bottom of the sign to be 68.2° and the angle to the top of the sign to be 72.3°. How tall is the sign? Is the sign within the code restrictions or not

ABC is right angled at B, and D is a point on BC. if AD=18cm, BD= 9cm and CD=4cm, find AC

suppose the coordinate of p=2 and PQ=8 and PR=12. Whare are the possible mid point for line segment PQ?

Molly finds two sticks and wants to build a kite for her little brother. The sticks are 12 inches and 24 inches long, and she plans on using them as the diagonals of the kite. Molly will need a minimum of _____ square inches of fabric to make the kite

Hi Expert please solve.
Prove that the sum of measure of two sides of a triangle is greater than double the median bisecting the third side.

A coin has a mass of approx 10g, a new coin is minted and its size is doubled in all dimensions. What is the new coins mass?

Given: Be bisects <ABC CE bisects <DCB, and m<1 +m<2 =90
Prove BA II CD