A cable 20 feet long connects the top of a flagpole to a point on the ground that is 16 feet from the base of the pole. How tall
is the flagpole?
1 answer:
Think of it like a triangle.
The flagpole is vertical and is at 90° to the ground. This makes a right-angle to the ground, which is flat.
Since we have two sides of the triangle already, and they are in a ratio of ?? : 16 : 20 = ?? : 4 : 5, that means that because the triangle is a right-angled triangle, the third and last side must be 3 to complete the ratio! (This is called 'Pythagoras')
Since the other sides were divided by 4 to get the simple ratio, we must multiply 3 to get the actual ratio! 3 × 4 = 12 ft tall flagpole.
The flagpole is vertical and is at 90° to the ground. This makes a right-angle to the ground, which is flat.
Since we have two sides of the triangle already, and they are in a ratio of ?? : 16 : 20 = ?? : 4 : 5, that means that because the triangle is a right-angled triangle, the third and last side must be 3 to complete the ratio! (This is called 'Pythagoras')
Since the other sides were divided by 4 to get the simple ratio, we must multiply 3 to get the actual ratio! 3 × 4 = 12 ft tall flagpole.
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Step-by-step explanation:
Answer:
18 and -2
Step-by-step explanation:
Let x = 1st no.
y = 2nd no.
(1) x + y = 16 (2) xy = -36
y = 16 - x x(16 - x) = -36
(x - 18)(x + 2) = 0
x = 18 or x = -2
y = 16 - 18 = -2
y = 16 -(- 2) = 16 + 2 - 18
The two numbers are 18 and -2