If an inscribed angle measures 67°, how would you find the intercepted arc?

1 answer:

3 0

I think you would divide the angle measure by two... Does your question give you options (A,B,C,D)?
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EDIT
Multiply by 2

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a pole that is 3.3 M tall casts a shadow that is 1.22 M long at the same time a nearby Tower cast a shadow that is 50.75 M long

jenyasd209 [6]

Since there is no distance between the pole and the base of the tower, we can assume that the pole is at the base of the tower.
We can create a right triangles between the pole and its shadow and between the tower and its shadow as shown in the figure. Let $x$ be the height of the tower. Since our triangles are similar the ratio between its sides is going to be proportional, so we can establish a proportion to find $x$ :
$\frac{x}{3.3} = \frac{50.75}{1.22}$
$x= \frac{(50.75)(3.3)}{1.22}$
$x=137.27$

We can conclude that the tower is 137.27 meters tall.