4.- The diagonal in a rectangle is 20 units long, and the angle between the diagonal and a side is 36 degrees 42'.
What is the length of the side adjacent to the given angle?

5.-In an isosceles triangle each of the equal side is 10 meters and the base is 16 meters. Find the vertex angle accurate to the next minute.

Solution Summary

Trigonometry and Pythagorean (Pythagorus) Theorem Problems are investigated. The solution is detailed and well presented. The response received a rating of "5/5" from the student who originally posted the question.

A right triangle is a triangle with one angle measuring 90°. In a right triangle, the sides are related by PythagoreanTheorem, where c is the hypotenuse (the side opposite the 90° angle). Find the hypotenuse when the other 2 sides' measurements are 3 feet and 4 feet.

A radio station is going to construct a 12 foot tower for a new antenna on top of a tall building. The tower will be supported by three cables, each attached to the top of the tower and to points on the roof of the building which are 5 feet from the base of the tower. What is the total length of these three cables? 39 feet
Ca

Suppose at kickoff of a football game, the receiver catches the football at the left side of the goal line and runs for a touchdown diagonally across the field. How many yards would he run? (A football field is 100 yards long and 160 feet wide).

Suppose you travel north for 35 kilometers then travel east 65 kilometers. How far are you from your starting point? Can you show me how you got the answer?

1) The numbers 3, 4, and 5 are called Pythagorean triples since 3 2+ 4 2= 5 2. The numbers 5, 12, and 13 are also Pythagorean triples since 5 2 + 12 2= 13 2. Can you find any other Pythagorean triples? Actually, there is a set of formulas that will generate an infinite number of Pythagorean triples.
2) Select at least 5 more

1.The formula r=2sqrt(5L) can be used to approximate the speed r, in miles per hour, of a car that has left skid marks of length L, in feet. How far will a car skid at 30mph?
2.What does it mean to refer to a 20 inch TV set or a 25 inch TV set? Such units refer to the diagonal of the screen. A 25 inch TV set also has a wid