Q:

PLZ HELP ME HURRY PWEASE!!!!!!!!! Solve each problem and round to the nearest tenth. ITEMBANK: Move to Top5.25.45.89.81356Isaiah walks 3 miles due north, turns and then 5 miles due east. How far is he from his starting point?A 10-foot ladder is leaning against a wall. The base of the ladder is 2 feet from the base of the building. How far up the building does the ladder fall?A television is measured by its diagonal. If the height of a 70 inch television is 42 inches, what is the width?An equilateral triangle has a side length of 6. What is the height of the triangle?A right triangle has a height of 12 and a width of 5. How long is the diagonal?A string is tied to the top of a plant to keep it stabilized. The plant is 5 feet tall and the string is connected to the ground 2 feet from the base of the plant. How long is the string?

Accepted Solution

A:
Answer:1.5.80 miles2.9.80ft3.56 inches4.5.20 units5. 13 units6.5.40 ftStep-by-step explanation:⇒These questions are on the Pythagorean relationship⇒General expression is ;a²+b²=c² where a and b are values for the legs and c is the hypotenuse1. Isaiah waked 3 miles north and 5 miles east.Finding the distance from starting point we apply the equation;a²+b²=c² where a=5 miles and b=3miles 5²+3²=c²25+9=c²34=c²c=√34 = 5.80 miles2.The ladder is leaning against the wall to form the hypotenuse side of 10 ft.The distance from the base to the ladder forms side a= 2ft. The question requires you to calculate the height b.a²+b²=c²2²+b²=10²4+b²=100b²=100-4b=√96b=9.80 ft3. The television has a diagonal of 70 inches to represent side c and a height of 42 inches to represent the side a. The question requires you to find the width of  the television which represents the side ba²+ b²=c²42²+b²=70²b²=70²-42²b=√3136c=56 inches4. An equilateral triangle is one that has all its sides and angles equal. Here you have to introduce a perpendicular line from the apex point of the triangle to the base and get the distance a.The using the hypotenuse and the distance a, you can find the height/b.c= 6 units and a=6/2= 3 unitsa²+b²=c²     3²+ b²= 6²9+b²=36b²=36-9b=√27 =5.20 units5.In this question, you are given the height and the width of the right triangle thus apply the relationship as;a²+b²=c²..........where a=5 and b=125²+12²=c²25+144=c²⇒⇒⇒c=√169 =13 units6. In this question, the height of the plant represents side b and the distance of the base from where the string is tied is side b.You are to find the length of the string which represents the hypotenuse side.a²+b²=c²5²+2²=c²25+4=c²29=c²√29=cc=5.40 ft