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nirvana33 [79]
3 years ago
9

A pole that is 3.2m tall casts a shadow that is 1.74 m long. At the same time, a nearby tower casts a shadow that is 48.25 m lon

g. How tall is the tower? Round your answer to the nearest meter
Mathematics
1 answer:
Aleks04 [339]3 years ago
4 0

Answer: 89 meters


Step-by-step explanation:


Similar triangles have sides in proportion.


All sides of the tower's triangle are 48.25/1.74 times as long as the pole's triangle.


The tower is 3.2 × 48.25 / 1.74 = 88.7356321 m

Answer is 89 meters.

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3 years ago
How many different triangles can you make with the following conditions: angles measuring 45 degrees and 90 degrees and an INCLU
kotykmax [81]

Answer:

One

Step-by-step explanation:

Clearly, one triangle can be constructed as the angles 45 and 90 do not exceed 180 degrees. (so "None" is not correct)

To show that only one such triangle exists, you can apply the Angle-Side-Angle theorem for congruence.

Since one triangle can be constructed, it remains to be shown that no additional triangle that is not congruent to the first one can be created: I will use proof by contradiction. Let a triangle ABC be constructed with two angles 45 and 90 degree and one included side of length 1 inch. Suppose, I now construct a second triangle that is different from the first one but still has the same two angles and included side. By applying the ASA theorem which states that two triangles with same two angles and one side included are congruent, I must conclude that my triangle is congruent to the first one. This is a contradiction, hence my original claim could not have been true. Therefore, there is no way to construct any additional triangle that would not be congruent with the first one, and only one such triangle exists.

3 0
3 years ago
a water wheel has a radius of 18 feet. The wheel is rotating at 10 revolutions per minute. Find the linear​ speed, in feet per​
Yuri [45]

Answer:

The linear speed is 1,130.4\frac{ft}{min}

Step-by-step explanation:

step 1

Find the circumference of the circle

The circumference is equal to

C=2\pi r

we have

r=18\ ft

\pi =3.14

substitute

C=2(3.14)(18)

C=113.04\ ft

step 2

Find the linear speed in feet per minute

we know that

The wheel is rotating at 10 revolutions per minute

Convert revolutions to feet

Remember that

One revolution is equal to the circumference of the circle

so

10 revolutions is equal to

(10)113.04=1,130.4\ ft

therefore

The linear speed is 1,130.4\frac{ft}{min}

3 0
3 years ago
If hugo goes out for dinner and pays 2$ of sales tax on a 20$ meal what percentage is the sales tax in his city?
vesna_86 [32]
<h3>Answer:  10%</h3>

Work Shown:

2/20 = 0.10 = 10%

Note that 10% of 20 = 0.10*20 = 2 dollars is the sales tax to help confirm the answer.

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3 years ago
Which of the following functions is graphed above?
Varvara68 [4.7K]
A is the answer because u have to shift up two units and move it right 8 units
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