Answer:
25.8 ft
Step-by-step explanation:
Draw a right triangle with the right angle at the foot of the tower. The interior angle of the triangle at the top is the complement of the angle of depression. 90 - 74 = 16; it measures 16°. The leg at the bottom has length x. The height of the tower is the vertical leg and is 90 ft. We are looking for x.
For the 16° angle, x is the opposite leg, and 90 ft is the adjacent leg.
tan A = opp/adj
tan 16° = x/(90 ft)
x = 90 ft * tan 16°
x = 25.8 ft
Answer: 25.8 ft
Answer:
The probability that the last card dealt is an ace is
.
Step-by-step explanation:
Given : A deck of ordinary cards is shuffled and 13 cards are dealt.
To find : What is the probability that the last card dealt is an ace?
Solution :
There are total 52 cards.
The total arrangement of cards is 52!.
There is 4 ace cards in total.
Arrangement for containing ace as the 13th card is
.
The probability that the last card dealt is an ace is
![P=\frac{4\times 51!}{52!}](https://tex.z-dn.net/?f=P%3D%5Cfrac%7B4%5Ctimes%2051%21%7D%7B52%21%7D)
![P=\frac{4\times 51!}{52\times 51!}](https://tex.z-dn.net/?f=P%3D%5Cfrac%7B4%5Ctimes%2051%21%7D%7B52%5Ctimes%2051%21%7D)
![P=\frac{4}{52}](https://tex.z-dn.net/?f=P%3D%5Cfrac%7B4%7D%7B52%7D)
![P=\frac{1}{13}](https://tex.z-dn.net/?f=P%3D%5Cfrac%7B1%7D%7B13%7D)
Therefore, the probability that the last card dealt is an ace is
.
Compressional stress= creates a reverse fault.
Answer:
-5
Step-by-step explanation:
-15/3 = -5
h = -5