A bench is located where the shadows casted by a 16 foot tall flagpole and 40-foot tall tree meet. If the bench is 18 feet from
1 answer:
Answer:
<em>The distance from the flagpole to the tree is 27 ft</em>
Step-by-step explanation:
<u>Similar Triangles</u>
Since the elevation angle from which the trees cast their shadows has the same measure and given the tree and the flagpole and the ground form right angles, both triangles are similar.
Similar triangles have their corresponding side lengths proportional. The ratio between the distances from the bench to the tree and flagpole and their heights is constant, i.e.:
Where x is the distance from the bench to the tree.
Solving for x:
x = 45 feet
Thus the distance from the flagpole to the tree is 45 - 18 = 27 feet
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Answer:
A. 3s
Step-by-step explanation:
The height of the object after t seconds is given by:
When will the object hit the ground?
It hits the ground after t seconds, and t is found when . So
3 seconds, so the correct answer is given by option a.
The numbers of new CDs is 30 and the old CDs is 21.
To solve this problem, we have to write a system of equations in which we would know the numbers of each types of CD she bought.
<h3>System of Equations</h3>This is used to solve a series or complex of word problems in which we can represent in a mathematical statements;
- Let n represents numbers of new CDs
- Let u represents numbers of old CDs
The equations can be represented as
Let's take equation (i)
Making n the subject of formula
we can put equation (iii) into equation (ii)
Let's put the value of u into equation (i)
From the calculations above, the numbers of new CDs is 30 and the old CDs is 21.
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