393/393 - 168/393 = 225/393
Simplify 225/393 by 3 because that is is the fractions GCF
75/131
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:
You can find the distance between each of the adjacent vertices and then add the results together.
Step-by-step explanation:
Perimeter is all of the side lengths added together, so if you can find the distances between each of the adjacent vertices and then add the together, it will be equivalent to adding all of the side lengths together.
Answer:
D. 1 and 20
Step-by-step explanation:
To solve the equation, factor the quadratic and set the factors equal to 0.
d^2 - 21d + 20 becomes (d-20)(d-1) since -1*-20 = 20 and -1+-20 = -21.
Set each equal to 0 and solve for x.
d-20 = 0 d = 20
d - 1 = 0 d = 1
The true statements about ∠MJK and ∠MJL are
- The sum of the two angles is 180 degrees
- JK and JL are opposite rays
- JK and JL form a straight line
<h3>How to determine the true statements?</h3>
The statement is given as:
∠MJK and ∠MJL are a linear pair of angles and the angles are also supplementary
As a general rule, linear pair angles are adjacent angles that add up to 180 degrees. This means that:
- They are supplementary angles
- They have a sum of 180 degrees
- The angles may or may not be congruent
- They have opposite rays i.e. straight line
The above means that, the following options are true:
(e), (f) and (h)
Also, the converse of the statement is:
∠MJK and ∠MJL are supplementary angles and the angles are also linear pair of angles
This is false because not all supplementary angles are linear pair angles
Read more about linear pair angles at:
brainly.com/question/1511741
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