A tree casts a shadow that is 150 feet long. If the angle of elevation is 30 degrees, how tall is the tree?

Mathematics

1 answer:

Zarrin [17]3 years ago

5 0

Pythagorean Theorem

Answer is 5

You might be interested in

Can someone please help me factorize this one:<br><img src="https://tex.z-dn.net/?f=0.01y%20%7B%7D%5E%7B2%7D%20%20-%20%20%5Cfrac

Scorpion4ik [409]

First let us convert 0.01 into fraction:

$\frac{y^{2}}{100} -\frac{1}{4}$

Now we convert 100 and 4 into perfect squares as follows:

$(\frac{y}{10})^{2}-(\frac{1}{2})^{2}$

Now we use the property of :

$x^{2} -y^{2} =(x+y)(x-y)$

$(\frac{y}{10} +\frac{1}{2} ) (\frac{y}{10} -\frac{1}{2} )$

4 0

3 years ago

If anyone knows the answer to these can u please help? thank you! :)

Dennis_Churaev [7]

Answers:

A) Ray QS or Ray QR
B) Line segment QS or SQ
C) Plane QSR
D) Line QS or RQ

=======================================================

Explanation:

Part A)

When naming a ray, always start at the endpoint. This is the first letter and we'll start with point Q.

The second letter is the point that is on the ray where the ray aims at. We have two choices S and R as they are both on the same ray. That's why we can name this Ray QS and Ray QR.

--------------------

Part B)

A segment is named by its endpoints. The order of the endpoints doesn't matter so that's why segment QS is the same as segment SQ. To me, it seems more natural to read from left to right, so QS seems better fitting (again the order doesn't matter).

--------------------

Part C)

When forming a plane, you need 3 noncollinear points. The term "collinear" means the points all fall on the same line. So these three points cannot all fall on the same straight line. In other words, we must be able to form a triangle of some sort.

So that's how we get the name "Plane QSR". The order of the letters doesn't matter.

--------------------

Part D)

To name a line, we just need to pick two points from it. Any two will do. The order doesn't matter. So that's how we get Line QS and Line RQ as two aliases for this same line. It turns out that there are 6 different ways to name this line.