Answer:
619.13 feet
Step-by-step explanation:
Please find the attachment.
Let x represent the distance between doghouse to the foot of the tower.
We have been given that from the top of a vertical tower, 331 feet above the surface of the earth, the angle of depression to a doghouse is 28 degrees 8'. We are asked to find the distance between doghouse to the foot of the tower.
First of all, we will convert our given angle into degrees as it is given in degrees and minutes.
We will divide 8 by 60 to convert 8 minutes into degrees as:

The doghouse, tower and angle of depression forms a right triangle with respect to ground, where, 331 feet is opposite side and x is adjacent side to angle 28.13 degrees.





Upon rounding to nearest hundredth, we will get:

Therefore, the doghouse is 619.13 feet far from the foot of the tower.
Answer:
D
Step-by-step explanation:
The rest you can elimate because of obvious inferring and reasoning so process of elimination
In degree measure, the angles pi/3,pi/4 , and pi/2 are respectively: A. 60, 45, 90 B. 30, 45, 90 C. 45, 60, 90 D. 60, 30, 90 (al
aev [14]
<span>Solution :-
The value of pi expressed in radians and its equivalent degree is = 180 degree
Hence, the value of pi/3 = 180/ 3 = 60 deg
similarly, the value of pi/3 = 180/4= 45 deg
similarly, the value of pi/2= 180/2= 90 deg
Ans :-
The angles of pi/3, pi/4, pi/ 4 is = 60, 45, 90 degree respectively. Hence the right option is answer is A.</span>
Answer:
6
Step-by-step explanation:
#1: 4x - 8 = 16 (You want to remove -8)
#2: 4x = 24 (In order to remove -8 you need to cancel it out, add 8 to -8, also add 8 to 16)
#3: 4x = 24 (Now you need to get the x by itself, divide 4x by 4 to only get x and also divide 24 by 4)
#4: x = 6
Rule of Thumb: If you do something to one side, to it to the other :)