The triangles are similar. What is the value of x?
2 answers:
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Answer:
3 metres
Step-by-step explanation:
If we draw this out, we'll see that there are actually two similar right triangles (see attachment), which means that we can set up a proportion.
The height of the lookout tower corresponds to the height of the wooden column, while the shadow of the lookout tower corresponds to the shadow of the wooden column. We can then write:
(height of lookout tower) / (shadow of tower) = (height of column) / (shadow of column)
16 / 12 = 4 / x , where x is the shadow / unknown we want to find
Cross-multiply:
16x = 48
x = 3
The answer is thus 3 metres.
Use the equation
For A. The problem would be set up like so
5 _ -1
--------
4 _ -2
Start by subtracting 5 minus -1 which is 6 because minus a negative becomes a positive then subtract 4 minus -2 which is 6, remember minus a negative becomes a positive, then divide 6/6 to get 1
For B.
-5 _ -0
----------
3 _ -1
Again subtract -5 by -0 which no matter what will be -5. Then make -1 positive because it's a subtracted negative so it becomes 3+1 which gives you 4. Your answer is -5/4
If you need help with the rest message me good luck
For A. The problem would be set up like so
5 _ -1
--------
4 _ -2
Start by subtracting 5 minus -1 which is 6 because minus a negative becomes a positive then subtract 4 minus -2 which is 6, remember minus a negative becomes a positive, then divide 6/6 to get 1
For B.
-5 _ -0
----------
3 _ -1
Again subtract -5 by -0 which no matter what will be -5. Then make -1 positive because it's a subtracted negative so it becomes 3+1 which gives you 4. Your answer is -5/4
If you need help with the rest message me good luck