A boy stands 1 meter away from a lamppost. He is 1.8 meters tall and casts a shadow 2 meters long in the light from the lamp
The diagram is attached below using the given information
We have two similar triangle
Triangle ACD is similar to triangle ABE. So the sides are in proportional

AC = AB + BC = 3m

2x = 1.8 * 3 (cross multiply)
2x = 5.4
Divide by 2 on both sides
x = 2.7
Height of Lamppost is 2.7 meter
Answer:
See explanation
Step-by-step explanation:
A box contains 2 blue cards numbered 1 through 2. Let them be named B1 and B2. This box also contains 3 green cards numbered 1 through 3. Let them be named G1, G2 and G3.
The sample space of picking a blue card followed by a green card is
B1, G1
B1, G2
B1, G3
B2, G1
B2, G2
B2, G3
So, there are 6 different outcomes in this sample space.
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Answer:

Step-by-step explanation:
We know that since angles in a triangle add up to 180º, the remaining angle must be 45º.
So the side with length
must be equal to the side with length
. That is:

Now, by Pythagoras:
