A tower that is 101 feet tall casts a shadow 110 feet long. Find the angle of elevation of the sun to the nearest degree.

Mathematics

1 answer:

mel-nik [20]3 years ago

4 0

Answer:

x= 43.89

Step-by-step explanation:

Start off with your ratio. Because we're finding an angle, we'll use -1.

Since it's the opposite and adjacent, TAN is the ratio we're using here.

(tan is opposite/adjacent)

Tan -1x = 101/105

in your calculator, divide 101 and 101

=0.9619

then with this number, hit 2nd and Tan and enter and you will get

x= 43.89.

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If the circumference of a circle is changed from 9 cm to 3 cm, how will the diameter change?

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Answer:

If the circumference of a circle is changed from 9 cm to 3 cm, then the diameter decreases by a factor of 3.

Solution:

Given, the circumference of a circle is changed from 9 cm to 3 cm,

We have to find how will the diameter change from the given equations?

We know that, diameter = 2 $\times$ radius and circumference = 2π $\times$ radius.

$\text { Now, circumference }=\pi \times(2 \times \text { radius }) \rightarrow \text { circumference }=\pi \times \text { diameter }$

$\text { At initial stage } \rightarrow \text { circumference }=9 \rightarrow \pi \times \text { diameter }=9 \rightarrow \text { diameter }=\frac{9}{\pi}$

$\text { Now, after change } \rightarrow \text { circumference }=3 \rightarrow \pi \times \text { diameter }=3 \rightarrow \text { diameter }=\frac{3}{\pi}$

$\text { Now, for finding change in factor }=\frac{\text { new diameter }}{\text { old diameter }}=\frac{\frac{3}{\pi}}{\frac{9}{\pi}}=\frac{3}{9}=\frac{1}{3}$