Answer:
positive its 18 feet
Step-by-step explanation:
Answer:
What exactly is your question?
Step-by-step explanation:
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>
<h3 /><h3>Methods used for the calculation of the height of the tree</h3>
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:
brainly.com/question/1978238
Answer:
x = 18 (Smaller number)
y = 35 (Larger number)
Step-by-step explanation:
To solve, begin by setting up a system of equations.
'x' being the smaller number, while
'y' is the larger number.
We can construct the equations:
x + y = 53
3x = y + 19
Rearrange the second equation to equal 'y':
3x - 19 = y
Plug this value of 'y' into the first equation:
x + 3x - 19 = 53
Combine like terms and simplify:
4x - 19 = 53
4x = 72
x = 18
Plug in this value for 'x' into an equation to solve for 'y':
18 + y = 53
y = 35.