Answer:
Step-by-step expThis is the concept of trigonometry, the value of x will be calculated as follows;
sin theta=[opposite]/[hypotenuse]
theta=x
opposite=16 units
hypotenuse=21 units
thus;
sin x=16/21
hence;
x=arcsin(16/21)
x=49.63
x=50 (to the nearest degrees)
I believe it would be 144 :)
- 5x - 4x + 24 = - 3
9x = 27
x = 3
<h3>
<u>Given</u> - </h3>
➙ a quadratic equation in which Harry lagged due to an error made by him, 2x² - x - 6= 0
<h3>
<u>To solve</u> - </h3>
➙ the given quadratic equation.
<h3>
<u>Concept applied</u> - </h3>
➙ We will apply the quadratic formula as given in the question. So, let's study about quadratic equation first because we are supposed to apply the formula in equation.
What is quadratic equation?
➙ A quadratic equation in the variable x is an equation of the form ax² + bx + c = 0, where a, b, c are real numbers, a ≠ 0.
Now, what is quadratic formula?
➙The roots of a quadratic equation ax + bx + c = 0 are given by
provided b - 4ac ≥ 0.
<h3>
<u>Solution</u> - </h3>
here as per the given quadratic equation,
a = 2, b = -1 and c = -6
putting in the formula,




Solving one by one,



________________



________________________________
<em><u>Note</u> - Hey dear user!! You haven't provided the solution which was solved by Harry (A.T.Q). Please go through the solution as it will help you to find the error done by Harry.</em>
<em>________________________________</em>
Hope it helps!! (:
Answer:
The correct answer is 61.08 foot.
Step-by-step explanation:
Length of the string of the kite, Mr. Black is flying is 65 foot. Thus the length between the kite and Mr. Black is given by 65 foot.
Angle of elevation is 70°.
We need to calculate the height of the kite above Mr. Black's head. The height is given by finding the sine of the angle of elevation.
Let the height be x foot.
Thus sin 70° = 
⇒ x = sin 70° × 65
⇒ x = 61.08
Thus the height of the kite above Mr. Black head is 61.08 foot.