Answer:
1. The height is 9 feet
2. The height will increase. The new height is 15
3. The total cost will be $1,875
Explanation:
15² = (24÷2)² + h²
Step 1: Simplify both sides of the equation.
225=h²+144
Step 2: Subtract h^2 from both sides.
225−h²=h²+144−h²
−h²+225=144
Step 3: Subtract 225 from both sides.
−h²+225−225=144−225
−h²=−81
Step 4: Divide both sides by -1.
−h²/-1 = −81/-1
h² = 81
Step 5: Take square root.
√h² = √81
h = 9
2. 18² = 10² + h²
Step 1: Simplify both sides of the equation.
324=h²+100
Step 2: Subtract h^2 from both sides.
324−h²=h²+100−h²
−h²+324=100
Step 3: Subtract 324 from both sides.
−h²+324−324=100−324
−h²=−224
Step 4: Divide both sides by -1
−h²/-1 = −224/-1
h² = 224
Step 5: Take square root
√h² = √224
h = 14.96663
round the number to the nearest whole number
h = 15
3. Find the area of the of the material. (length × height) ÷ 2
length = 20feet
height = 15feet
20 × 15 ÷ 2
300 ÷ 2
150
Area = 150feet
Since the sun shade costs 12.50 per square foot, and the sun shade is 150feet, we must multiply them
12.50 × 150 = 1,875