Answer: approximately 49 feets
Step-by-step explanation:
The diagram of the tree is shown in the attached photo. The tree fell with its tip forming an angle of 36 degrees with the ground. It forms a right angle triangle,ABC. Angle C is gotten by subtracting the sum of angle A and angle B from 180(sum of angles in a triangle is 180 degrees).
To determine the height of the tree, we will apply trigonometric ratio
Tan # = opposite/ adjacent
Where # = 36 degrees
Opposite = x feets
Adjacent = 25 feets
Tan 36 = x/25
x = 25tan36
x = 25 × 0.7265
x = 18.1625
Height of the tree from the ground to the point where it broke = x = 18.1625 meters.
The entire height of the tree would be the the length of the fallen side of the tree, y + 18.1625m
To get y, we will use Pythagoras theorem
y^2 = 25^2 + 18.1625^2
y^2 = 625 + 329.88
y^2 = 954.88
y = √954.88 = 30.9 meters
Height of the tree before falling was
18.1625+30.9 = 49.0625
The height of the tree was approximately 49 feets
When you are multiplying an exponent directly into a number/variable with an exponent, you multiply the exponents together.
For example:
When you are multiplying a variable with an exponent by another variable with an exponent, you add the exponents together.
For example:
You multiply 3 into each exponent in the numerator and the denominator
When you have a negative exponent, you move it to the other side of the fraction to make the exponent positive.
When you have something like this:
You subtract the exponents together, so:
Your answer is the second option
The x coordinate of S will be 1/2 * 2a = a.
and since the half triangle is 30-60-90 the y coordinate will be sqrt3 a
so S is (a , sqrt3a)
Answer: 30 degrees
Step-by-step explanation:
All angles in a triangle add up to 180 degrees, so you can just write an equation to solve for the measure of angle F. Also, angle C is congruent to angle F because of CPCTC
124 + 26 + F = 180
150 + F = 180
F = 30
The measure of angle F is 30 degrees
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