INTRODUCTORY EXERCISES - Triangles
(1) A woman 5 feet tall is standing near a street lamp that is 12 feet tall. Express the length L of her shadow as a function of her distance d from the base of the lamp.
(2) The hypotenuse of a right triangle has length 20 units. The sum of the lengths of the other 2 sides is 28 units. Find the lengths of the other 2 sides of the triangle.
(3) (a) The hypotenuse of a right triangle with legs the same length is 15 cm. What is the length of a leg? (b) What general ratio (hypotenuse:leg) can be formed for isosceles right (45:45:90) triangles?
(4) A rectangular building lot is 18 meters wide. The length of a diagonal between opposite corners is 3.5 meters more than the length of the lot. What is the length of the lot?
(5) A 10 foot long bamboo pole is broken in such a way that the tip touches the ground 3 feet from the base of the stem. What is the height of the break?
