The balloon's vertical distance above the ground is 430 feet.
<h3>What is the angle of depression?</h3>
You look straight parallel to the ground. But when you have to watch something down, then you take your sight down by moving your head up.
The angle from horizontal to the point where you stopped your head is called the angle of depression.
From a hot-air balloon, Brody measures a 39° angle of depression to a landmark that's 532 feet away, measuring horizontally.
The angle of depression = 39°
The base = 532
We need to find the vertical distance consider perpendicular.
Therefore, the balloon's vertical distance above the ground is 430.80 feet.
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Answer:
Radius= 5.0ft ( given)
Step-by-step explanation:
Given: Volume of cone= 50π ft^3
Height of cone= 6ft
Required: Radius
Volume of cone= 1/3 * π * r^2 *h
(or)
r^2= Volume *3/h π ( Just disintegrating the formula and taking radius^2 to the left hand side(L.H.S) )
= (50 π *3)/(6)π
= 50/2 (because, 3 π /6 π = 1/2)
r^2 = 25
now, r =√25= 5.0 ft
Therefore, the radius of the cone is 5.0 ft(to the nearest tenth) :)
Answer:
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Step-by-step explanation:
Given:
Quadrilateral ABCD is inscribed in a circle P.
To find:
Which statement is necessarily true.
Solution:
Quadrilateral ABCD is inscribed in a circle P.
Therefore ABCD is a cyclic quadrilateral.
In cyclic quadrilateral, opposite angles form a supplementary angles.
⇒ m∠A + m∠C = 180° --------- (1)
⇒ m∠B + m∠D = 180° --------- (2)
By (1) and (2),
⇒ m∠A + m∠C = m∠B + m∠D
This statement is necessarily true for the quadrilateral ABCD in circle P.
All marbles together are 24 marbles. 14 of those are yellow marbles. 24 subtract 14 is 10. the probability of the marble not being yellow is 10/24
