3 years ago

A triangle has two sides that measure 4.56 cm and 8.65 cm. Which could be the measure of the third side?

1 answer:

6 0

To test for a triangle, the two smallest sides added together have to be greater than the third side.

3.95 + 4.56 > 8.65
8.51 > 8.65
this is false

4.56 + 8.65 > 10.31
13.21 > 10.31
could be it

4.56 + 8.65 > 13.21
13.21 > 13.21
no, this would mean they're equal

4.56 + 8.65 > 20.25
13.21 > 20.25
this is also false

<span>B. 10.31 cm
</span>

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A bird watcher is standing 50 feet from the base of a large tree. The surveyor measures the angle of elevation to a bird on top

yan [13]

Answer:

149.43 feet tall

Step-by-step explanation:

From the base of a large tree, a bird watcher is standing 50 feet away.

There is 71.5° of elevation from the bird watcher to a bird on the top of the tree.

If we ignore the height of the observer and consider the height of the tree as h feet, then using trigonometry we can write that

tan 71.5° = $\frac{h}{Base}$ = $\frac{h}{50}$