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.
Answer:
x = 5
Step-by-step explanation:
9514 1404 393
Answer:
y = 1/5x +8
Step-by-step explanation:
The slope of the perpendicular line will be the opposite reciprocal of the slope of the given line:
m = -1/(-5) = 1/5
The y-intercept (b) can be found from this and the given point:
b = y -mx
b = 9 -(1/5)(5) = 8
Then the slope-intercept equation can be written ...
y = mx +b . . . . . . line with slope m and y-intercept b
y = 1/5x +8
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<em>Additional comment</em>
Since the question asks for "an equation," the problem can be solved even more quickly using the point-slope form of the equation of a line.
y -k = m(x -h) . . . . . . line with slope m through point (h, k)
y -9 = 1/5(x -5) . . . . . an equation for line j
which letter from table represent like terms asnwer A
