How would you solve this? All I know is AD=24.4948
1 answer:
Answer:
8
Step-by-step explanation:
Let's call the center of the middle circle J, and the center of the third circle K.
Draw a line from J to the line AD such that the line is perpendicular to AD.
This forms a right triangle that is similar to the triangle ΔADK.
Writing and solving a proportion:
x / DK = AJ / AK
x / 5 = 15 / 25
x = 3
Now, draw lines from J to B and C. We now form two congruent right triangles, where the hypotenuse is 5 and the shared leg is 3.
That means these are both 3-4-5 triangles.
Therefore, BC = 4 + 4 = 8.
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Answer:the height of the balloon is 670.244 feet
Step-by-step explanation:
The right angle triangle BLD represents the scenario.
h represents the height of the balloon.
We would apply trigonometric ratio to determine h.
Tan # = opposite side/adjacent side
Looking at triangle LCD,
# = 61 degrees
h = opposite side
x = adjacent side
Tan 61 = h/x
1.7321 = h/x
h = 1.7321x
Looking at triangle LBD,
# = 54 degrees
h = opposite side
x + 100 = adjacent side
Tan 54 = h/x + 100
1.3764 = h/x + 100
h = 1.3764(x + 100)
Therefore,
1.7321x = 1.3764(x + 100)
1.7321x = 1.3764x + 137.64
137.64 = 1.7321x - 1.3764x
137.64 = 0.3557x
x = 137.64/0.3557 = 386.955
h = 1.7321x = 386.955 × 1.7321
h = 670.244 feet
