First step find a common multiple, e.g. 45 and subtract
9x + 5y = 28 * 5
5x + 9y = 56 * 9
45x + 25y = 140
-(45x + 81y = 504)
-56y = -364
56y = 364
y = 6.5
Substitute into any equation
9x + 5(6.5) = 28
9x + 32.5 = 28
9x = -4.5
x = -0.5
x = -0.5 , y = 6.5
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:
if the diagonals of a parallelogram are congruent, then it's a rectangle (neither the reverse of the definition nor the converse of a property). If a parallelogram contains a right angle, then it's a rectangle (neither the reverse of the definition nor the converse of a property).
Step-by-step explanation:
It should take Gwen 6 hours for her to finish her book.
Answer:
The car travelled 73 miles
The boat travelled 53 miles
The car arrived 17.7 minutes before the boat
Step-by-step explanation:
The total distance the car travelled from Point A to Point B = 28+45 = 73 miles
The total distance the boat travelled is given by the displacement; Using Pythagorean theorem = 53miles.
Time taken by the car = Distance/Speed = 73/40 = 1.825 hrs or 109.5 minutes
Time taken by the boat = Distance/speed = 53/25 = 2.12 hrs or 127.2 minutes.
The time taken by the car is the shortest, therefore it arrives first before the boat.
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