Answer: -1
Step-by-step explanation:
Answer:
X = 16
Step-by-step explanation:
Notice that we are in the presence of two similar triangles, one larger than the other. The larger triangle is AED, and the smaller one is ACB.
Since there are similar triangles, we can write a proportionality between their known sides:
notice that AD = x + 6
AB = x
ED = 11
CB = 8
So now we can re-write the proportion and solve it for the unknown "x":
A. x= 11/5
b. x= 6
c. x= -12/2
d. x= 6/5
Answer:
1001 feet
Step-by-step explanation:
A triangle is formed where the points are the balloon, boat 1 and boat 2. We know the height of the triangle and the respective angles of each boat, if we cross a line just at the height of the balloon, two rectangular triangles are formed and we can calculate the distance from the ship to that point of height, the sum of these two distances, would be the distance between the two balloons.
To calculate this distance, we apply tangent of the angle:
tan ° A = opposite / adjacent
opposite is the height and adjacent the distance we want to find:
d1 = opposite / tan ° A
d1 = 300 / tan 40
d1 = 300 / 0.8390
d1 = 357.56
now for the other distance:
d2 = opposite / tan ° B
d2 = 300 / tan 25
d2 = 300 / 0.4663
d2 = 643.36
In other words, the distance between the boats is:
357.56 + 643.36 = 1000.92
Approximately 1001 feet
