The tree is 25 feet tall. Given the height of the stick and the shadow it cast, the angle formed by the sun and the stick's height can be obtained by taking the Inverse Tangent of 3/5. This is equal to 30.93. This angle is equal to the angle formed by the sun and the tree's height. Using the tangent formula, Tan (30.93)=tree's shadow (15 ft)/ height of the tree, giving the answer 25 feet.
Answer:
<u>Option C. It is zero</u>
Step-by-step explanation:
The graph represents a quadratic equation
The quadratic equation has the form ⇒a x² + b x + c
The discriminant of the quadratic equation is D = b² - 4ac
From the discriminant of the quadratic equation, we can know the type of roots of the quadratic equation.
- If D > 0 ⇒ Two real roots.
- If D = 0 ⇒ one real roots
- If D < 0 ⇒ Two imaginary roots.
The roots of the quadratic equation are the x-intercepts of the function.
As shown at the figure, the quadratic equation has only one point of intersection with the x-axis
So, the function has only one root ⇒ D = 0
So, the discriminant of the quadratic equation = 0
<u>The answer is option C. It is zero</u>
Length of the radius of the cone is equals to 5 cm.
<h3>What is right circular cone?</h3>
" A right circular cone is the 3 dimensional solid shape, which has an axis that is perpendicular to its circular base."
Formula used
Pythagoras theorem
(Hypotenuse)² = (adjacent side)² + (opposite side)²
According to the question,
Slant height 'l' of the cone = 13cm
height 'h' of the cone = 12cm
Let 'r' be the radius of the base of the cone.
As per the diagram,
InΔABC,
Apply Pythagoras theorem, we get
(l)² = (h)² +(r)²
Substitute the values of 'l' and 'h' in the formula we get,
(13)² =(12)² + (r)²
⇒ (r)² = 169 - 144
⇒ r =√25
⇒ r = 5cm
Hence, length of the radius of the cone is equals to 5 cm.
Learn more about right circular cone here
brainly.com/question/12478210
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Just times 12 x 7 that should give you the answer