Answer:
The tree is 16.25 m tall.
Step-by-step explanation:
Attached is a diagram that better explains the problem.
From the diagram we see that the distance between the top of the tree and the line of sight of the observer is x.
To find the height of the tree, we need to first find x and then add it to the height of the observers line of sight from the ground.
Using SOHCAHTOA trigonometric function:
tan(20) = x/39.2
=> x = 39.2 * tan(20)
x = 39.2 * 0.364
x = 14.27m
Hence, the height of the tree is:
(14.27 + 1.98)m
16.25m
The tree is 16.25 m tall.
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The answer is C because if you substitute in X-6 for the y in the first equation (since X-6 is also equal to y), you get 2x=16 which means x=8. There is only one option where 8 is equal to X, but just to check you can substitute it back into either of the original equations to make sure that y=2.
Answer:
90 games
Step-by-step explanation:
Of the 120 games the football team played, they won 75% of them.
Remember that in mathematics, "of" almost always means to multiply. Here, that means we must multiply 75% by 120:
75% * 120
Remember also that % just means divided by 100, so 75% = 75 / 100. So:
75% * 120 = (75/100) * 120 = 9000/100 = 90 games
Answer:
Step-by-step explanation:
