Answer:
units
Step-by-step explanation:
Use the distance formula to find the distance between the two points. Substitute the x and y values of the points (-1,-3) and (1,3) into the formula and simplify:
So, the distance is units.
Answer:33.95 m
Step-by-step explanation:
Given
The height of the man is 2 m
Distance between man and tree is 30 m
the angle of elevation of the top from the eyes is
from the figure,
Using Pythagoras we can write
Thus the distance between the men eyes to the top of the tree is 33.95 m
D (0,3)
The difference in x is 12 so it would be -2 +2 which is just 0
Answer: angle ITU = 145 degrees
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Explanation:
Angle STU is the largest angle composed of the smaller angles STI and ITU.
In other words, the two smaller angles add up to the larger one.
(angle STI) + (angle ITU) = angle STU
( 20 ) + ( 12x+1 ) = 13x + 9
20+12x+1 = 13x+9
12x+21 = 13x+9
21-9 = 13x-12x
12 = x
x = 12
Using this x value, we find that,
angle ITU = 12x+1 = 12(12)+1 = 145 degrees
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As a side note,
angle STU = 13x+9 = 13(12)+9 = 165 degrees
This is confirmed with
(angle STI) + (angle ITU) = (20) + (145) = 165 = angle STU