Answer:

Step-by-step explanation:
The height of the tree is 60 meters.
Explanation:
Let the height of the tree be x. The tree casts a shadow of
meters and the distance from the top of the tree to the end of the shadow is
meters.
The sides of the triangle are attached in the image below:
Using pythagoras theorem,

Expanding, we get,




Solving the equation using the quadratic formula
, we get,

Simplifying, we have,



Thus,
and 
where the value
is not possible because substituting the value
in
results in negative solution. Which is not possible.
Hence, the value of x is 60.
Thus, The height of the tree is 60 meters.
The equation is 10x=2x+60
x=15/2
∠CFH=75
∠CBD= 75
We are dealing with parallel lines, which are the lines that are equidistant to each other and never meet, will never meet, when such lines are crossed by another line called the transversal creates many angles such as corresponding angles, vertical angles, alternate interior angles, alternate exterior angles, consecutive angles.
Since, angle CBD and angle CFH are the corresponding angles and they are equal to each other, we are given CBD=2x+60 and CFH = 10x
therefore , 10x=2x+60
=>10x-2x=60
=>8x=60
x=15/2
So, the angle CBD= 2x+60= 2(15/2)+60= 75
and the angle CFH = 10x= 10(15/2)= 75
To know more about parallel lines refer to the link brainly.com/question/16701300?referrer=searchResults.
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45c = 5 · 9c
10d = 5 · 2d
45c + 10d = 5 · 9c + 5 · 2d = 5(9c + 2d)
Answer:
x^2+17x+91=0
a = 1; b = 17; c = +91;
Δ = b2-4ac
Δ = 172-4·1·91
Δ = -75
Delta is less than zero, so there is no solution for the equation
Step-by-step explanation: