Answer:
C
Step-by-step explanation:
We require to find DC
ΔDEC and ΔBAC are similar triangles, hence the ratios of corresponding sides are equal, that is
=
, that is
=
( cross- multiply )
23.5DC = 506 ( divide both sides by 23.5 )
DC ≈ 21.532
distance travelled = BC + DC = 44 + 21.532 ≈ 65.5 in → C
Answer:
The distance of the overpass above the ground is approximately 26.795 ft
Step-by-step explanation:
The parameters given are;
The distance from the overpass the engineer stands before determining the angle of elevation of the overpass from his standing point = 100 ft
The angle of elevation of the overpass as determined by the engineer from 100 ft = 15°
By trigonometric ratios, we have;
The opposite side to the 15° angle of elevation in the above case is the distance of the overpass above the ground
The opposite side to the 15° is the distance of the engineer from the base of the overpass
Therefore;
Tan(15°) the height of the overpass=
length
The distance of the overpass above the ground = 100 × tan (15°) ≈ 26.795 ft.
Answer:
f(x) and its inverse are the same
Step-by-step explanation:
<u>The inverse function </u>
If y=f(x), the inverse function is defined such as
To find the inverse function, there is a practical method:
a) Change letters x for y and vice-versa
b) Isolate y in terms of x only
c)
In our case,
a) Interchanging letters
b) Isolate
c)
As we can easily see, f and its inverse are exactly the same