The angle here is an acute angle at ground level. Then the side adjacent to this angle is 126 feet. The opp. side is the tower, 111 feet tall.

Then

tan theta = opp / adj = 111 / 126. Using the inverse tangent function, we find that the measure of the angle is 0.722 radian or 41 degrees (to the nearest degree).

3 0

2 years ago

Why can’t one of the names be PNM, or MPN for the plane? But MNP can? What’s the difference, and why?

Savatey [412]

The names PNM and MPN are perfectly valid. The order of the letters doesn't matter. In fact, there are 6 ways to name this plane if we just use the 3 letters. If we include "plane Z", then there are 7 total ways to name the plane.

For some reason, your teacher wants P to be the third letter as s/he mentioned MNP and NMP. But again, the order doesn't matter.

3 0

2 years ago

The probability that you roll a 5 on a six-sided die is start fraction one over six end fraction . the probability that you flip

Anastaziya [24]

Let event A be the coin landing on heads and let event B be rolling a 5 on a six-sided die.
Events A and B are independent if, and only if:
$P(A\cap B)=P(A)\times P(B)$
It is given in the question that the above condition for independence is met.
Also A and B are independent if:
P(A|B) = P(A)
P(A) = 1/2
Therefore the probability of flipping a coin and it landing on heads, given that you rolled a 5 on a six-sided die is 1/2. The two events are independent.

5 0

2 years ago