Answer:
x=4
Step-by-step explanation:
5x-x=15+1
4x÷4=16÷4
x=4
<span>Let the height of the tree be h foot.
Trigonometric ratio for tangent = Opposite side / adjacent side----(1)
Since the tree is standing vertically on a level ground, the three points, [ Top of the tree, the point where the tree touches the ground and the point where the shadow ends] form a right angled triangle.
Applying (1) for the above three points, tan(24.7)=(height of the tree)/(length of shadow)
Hence, height of the tree = tan(24.7)*(length of the shadow)
= (0.46)*140
= 65 foot (Rounding off to the nearest foot)</span>
Answer:
x = 15
LN and MO both equal 43
Step-by-step explanation:
LN and MO are diagonals in rectangle
Diagonals of a rectangle are congruent Hence, 4x - 17 = 2x + 13
Now we solve for x
4x - 17 = 2x + 13
Add 17 to both sides
4x = 2x + 30
Subtract 2x from both sides
2x = 30
Divide both sides by 2
x = 15
Now we want to find the values of LN and MO
To do so we substitute 15 for x in it's given expression ( note: because LN = MO we only need to do this process once )
LN = 4x - 17
Substitute 15 for x
4(15) - 17
Multiply
60 - 17
Subtract
LN and MO = 43
This expression can't be simplified any further be as there is no common factor for the numerator and the denominator.
Answer
The answer and procedures of the exercise are attached in the following archives.
Step-by-step explanation:
You will find the procedures, formulas or necessary explanations in the archive attached below. If you have any question ask and I will aclare your doubts kindly.
