The height of the skyscraper to the nearest tenth is 234. 95 meters.
<h3>How to determine the height</h3>
From the information given, we have:
- angle of elevation = 32°
- length of the base, adjacent side = 376 meters
- height of the skyscraper, opposite side = x meters
To determine the height of the elevator, let's use the tangent identity
We have that;
tan θ = opposite/ adjacent
The value of the opposite side is 'x' which is the height of the skyscraper and the value of the adjacent side is 376 meters which is the length of the base of the skyscraper
Now, substitute the values, we have;
tan 32 = x/ 376
cross multiply
x = tan 32 × 376
x = 0. 6249 × 376
x = 234. 95 meters
We know that the 'x' represents the opposite side and thus the height of the skyscraper
Thus, the height of the skyscraper to the nearest tenth is 234. 95 meters.
Learn more about angle of elevation here:
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Answer:
3.1
Step-by-step explanation:
Volume of cylinder = πr^2 × h
= π × (5/2)^2 × 13
= 255.25 yd^3
Answer:
sec theta = (sqrt24/5) cos theta = -2/5 tan theta = (-[sqrt 21]/2) sec theta = 5/2 csc theta = (5sqrt21)/21 cot theta = (-2sqrt21)/21
Step-by-step explanation:
During the problem, secx = -5/2, we can assume that as cos = -2/5. -2 = x. 5 = r. find for Y with: x^2+y^2=r^2. After that, plug in for the variables and you get all the answers. Rationalize the square roots, don't forget.
There are 52 cards in a deck of cards so that makes 52 your denominator. There are 4 aces in a deck of cards, so 52 - 4 = 48 making 48 your numerator. so the probability the card won't be an ace is 48 out of 52.
48/52 chance that the card will not be an ace.
Hope this helps you. :-)