Kianna and three friends went out to dinner together. The total bill was $58.49. If they each agreed to pay an equal share of th
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The height of the tree given the depression angle to the top and the base
is given by the tangent relationship of the two given angles.
Correct response:
- The height of the tree is approximately <u>79.58 feet</u>
Given:
Altitude of the hot air balloon = 800 feet
Angle of depression to top of tree = 43°
Angle of depression to base of tree = 46°
Required:
Height of tree
Solution:
The horizontal distance of the balloon from the tree is given as follows;
Therefore;
Therefore;
- Height of tree = Altitude of balloon - Height of balloon above tree
Therefore;
Learn more about angle of elevation and depression here:
The formula for distance between two points is:
In this case:
^^^Plug these numbers into the formula for distance like so...
To solve this you must use the rules of PEMDAS (Parentheses, Exponent, Multiplication, Division, Addition, Subtraction)
First we have parentheses. Remember that when solving you must go from left to right
0 - 3 = -3
-9 - (-8) = -1
Next solve the exponent. Again, you must do this from left to right
(-3)² = 9
(-1)² = 1
Now for the addition
9 + 1 = 10
√10 <<<This can not be further simplified so this is your exact answer
Your approximate answer would be about 3.16
***Remember that the above answers are in terms of units
Hope this helped!
~Just a girl in love with Shawn Mendes