Divide the numerator by the denominator so for example if you had 1/2 you would divide 1 by 2 to get 0.5
Answer:
25 ft
Step-by-step explanation:
The 2 triangles are similar hence the ratios of corresponding sides are equal, that is
=
= 5
multiply both sides by 5
x = 5 × 5 = 25
The height of the tree is 25 ft
Answer:
There is exactly 1 solution and it is a double root.
Step-by-step explanation:
To find this, factor the equation and solve.
x^2 + 10x - 25 = 0
(x - 5)(x - 5) = 0
Now that we have this factored, we can set each parenthesis equal to 0 and solve separately.
x - 5 = 0
x = 5
x - 5 = 0
x = 5
Because there are two of the exact same answer, we know it to be a double root.
If you draw a diagram of this, your given values of the resulting triangle give you the sides opposite and adjacent of the angle. The formula that uses these sides is tangent.
The tangent of an angle is equal to the ratio of the opposite side over the other non-hypotenuse side (adjacent).
Therefore;





Where x is the length of the string in feet.