Answer:
5
Step-by-step explanation:
Replace 20 instead of m
20/4=5
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:
a). x + y + 90° = 180°
b). x = 67°
y = 23°
Step-by-step explanation:
The sum of all angles in a triangle is 180°.
One of the angles in the figure is a right angle, or 90°. Therefore the sum of the three angles in the figure is:
x + y + 90 = 180
We are also told that x + 2 = 3y.
Rearranging that to isolate x gives us:
x = 3y - 2
Thake the first equation and substitute the above expression of in place of x:
x + y + 90° = 180°
(3y-2) + y + 90° = 180°
4y + 88° = 180°
4 y = 92°
y = 23°
To find angle x, use y = 23°
x = 3y - 2
x = 3*(23°) - 2
x = 67°
The sum 90° + 67° + 23° = 180°
