Answer:
Solution given:
height[p]=20m
angle of depression [a]=25°
base[b]=?
we have
Tan a=p/b
tan 25=20/b
b=20/tan25
b=42.89 or 43
<u>the tower </u><u>is</u><u> </u><u>4</u><u>3</u><u>m</u><u> </u><u>far</u><u> </u><u>from</u><u> the </u><u>vehicle</u><u> </u><u>.</u>
Answer: The greatest common factor of 4 and 6 is 2
Step-by-step explanation:
53°
Step-by-step:
- All angles in a triangle add up to 180°.
- Since your triangle is a right angle triangle, one of the angles are 90°.
- You already know another one, 37°.
- All you have to do to find the last one is to subtract the two you already know from 180.
180 - (90+37)
= 180 - 127
= 53
The measure of the last angle is 53°.
Answer:
JL = 78
Step-by-step explanation:
MN is a midsegment. Based on the midsegment theorem,
MN = ½(JL)
MN = 5x - 16
JL = 4x + 34
Plug in the value
5x - 16 = ½(4x + 34)
5x - 16 = ½*4x + ½*34
5x - 16 = 2x + 17
Collect like terms
5x - 2x = 16 + 17
3x = 33
Divide both sides by 3
x = 11
✔️JL = 4x + 34
Plug in the value of x
JL = 4(11) + 34
JL = 44 + 34
JL = 78
A. The term "units" refers to the measurements in the original question or problem. When looking at the question, the units we are measuring are dollars/feet.
B. In this case, the f'(x) means we are looking for the cost (in dollars) to drill the next foot down.
C. Since the cost increases the more feet we drill down, the sign of f'(x) is positive.
