Answer:
x = 12.52°
Step-by-step explanation:
The illustration forms a right angle triangle . The right angle triangle formed has a height of 200 ft and a base of 900 ft.
The opposite side of the triangle is 200 ft while the adjacent side of the triangle is 900 ft.
Using tangential ratio we can find the angle of depression. Therefore,
Let
x = angle of depression
tan x = opposite/adjacent
opposite = 200 ft
adjacent = 900 ft
tan x = 200/900
tan x = 2/9
x = tan⁻¹ 2/9
x = tan⁻¹ 0.222
x = 12.5166739144
x = 12.52°
3 hours = 60 x 3 minutes = 180 mins.
Total windows = 30.
So, total time = 30 x 180
= 5400mins
= 90 hours
Answer:
0.16
Step-by-step explanation:
We can convert 4 / 25 to 16 / 100. Since 100 ends in 2 zeroes, we know that there will be 2 digits after the decimal point, therefore, the answer is 0.16.
Answer:
6.0 units
Step-by-step explanation:
Since this is a right angled triangle, one of the trigonometric ratios will be used to find the value of y. Since the hypotenuse is 10 units, and the base and the perpendicular is unknown, therefore tangent ratio will not be used. Taking the critical angle to be 53 degrees, y becomes the base of the triangle. Therefore, cosine ratio will be used.
cos θ = Base/Hypotenuse.
cos 53 = y/10
y = 10*cos 53.
y = 6.0 units (correct to the nearest tenth).
Therefore, the side y measures 6.0 units!!!
Given:
In ABCD, AB=BC, AD=CD.
To find:
The additional information that can be included in the figure showing kite ABCD with diagonals AC and BD.
Solution:
We know that, a quadrilateral is a kite if,
1. Two pairs of congruent sides which are adjacent to each other.
2. One diagonal is perpendicular bisector of other.
From the given information, we have two pairs of consecutive congruent sides AB=BC and AD=CD.
ABCD is a kite if it holds the second property, i.e., one diagonal is perpendicular bisector of other.
So, the required additional information is "segment BD is perpendicular bisector of segment AC".
Therefore, the correct option is B.