Form a right angle triangle joining both given points to the origin, we get:
Perpendicular = 2 ( distance is always positive)
Base = 4 ( same logic)
Applying Pythagorus theorem
Hypotenuse = root of ( perpendicular squared + base squared)
Hypotenuse = root of 20 = 2 * root 5
Using x instead of theta
Sin x = perpendicular/hypotenuse
Cos x = base/hypotenuse
Sin x = -1/ root 5
Cos x = -2/ root 5
High probability of this answer being wrong.
Double check recommended.
Answer:
or 
Step-by-step explanation:
Given


Required
Find y

Substitute 


Collect like terms


Split the surd


Rationalize


Take LCM and add


or solve as:


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
11. The negative 8 had to go to the positive 3. You add 8 automatically to get yourself to 0. Once you do that you add three to make them the same to find the distance. The answer is 11.
Answer:
Leah makes $342 before tax.
Step-by-step explanation:
9.50 x 36 = 342
Leah makes $342 before tax.
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