Using SohCahToa, we can find the height of the tree. Let the tree height be h. 8m is adjacent to the 30° angle.
$\tan(30) = \frac{h}{8} \\ h = 8 \tan(30) \\ h = 4.62$
The answer is A) 4.6 m

3 0

3 years ago

Which expressions are algebraically equivalent to the correct usage of the distance formula to find the distance from point A(3,

egoroff_w [7]

Answer:

(5)

Step-by-step explanation:

The given two points are:

A(3,k) and B(h,4)

Now, using the distance formula that is= $\sqrt{(y_{2}-y_{1})^{2}+(x_{2}-x_{1})^{2}}$ .

In the given points, $y_{2}=4$ , $y_{1}=k$ , $x_{2}=h$ and $x_{1}=3$ , thus,

$\sqrt{(y_{2}-y_{1})^{2}+(x_{2}-x_{1})^{2}}$ = $\sqrt{(4-k)^{2}+(h-3)^{2}}$

which is the required equation, hence option 5 is correct.

8 0

3 years ago

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