Question

May someone help me with this question it says: Sam's tent has slanted sides that each 5 feet long with the bottom 6 feet across. What is the height of his tent at it's tallest point? A.3.0ft B.3.5ft C.4.0ft D.5.0ft

Answer 1

Answer:

C) 4.0 ft  

Step-by-step explanation:

We will use the Pythagorean theorem to solve this.  It states that the sum of the squares of the legs of a right triangle is equal to the square of the hypotenuse; algebraically,

a²+b² = c²

The height splits the base in two, giving us a leg of 3.  The hypotenuse is 5.  This gives us:

3²+b² = 5²

9+b² = 25

Subtract 9 from each side:

9+b²-9 = 25-9

b² = 16

Take the square root of each side:

√b² = √16 = 4