Answer:
In the first coordinate
Step-by-step explanation:
Answer:
Precent Increase
Step-by-step explanation:
Answer:
y=75° (opposite angle of parallelogramare equal)
x+8=16(opposite sides are equal)
x=16-8
x=8
1.
, then
and triangles ADC and ACB are similar by AAA theorem.
2. The ratio of the corresponding sides of similar triangles is constant, so
.
3. Knowing lengths you could state that
.
4. This ratio is equivalent to
.
5.
, then
and triangles BDC and BCA are similar by AAA theorem.
6. The ratio of the corresponding sides of similar triangles is constant, so
.
7. Knowing lengths you could state that
.
8. This ratio is equivalent to
.
9. Now add results of parts 4 and 8:
.
10. c is common factor, then:
.
11. Since
you have
.
Answer:
10.69
Step-by-step explanation:
We must first know that the angle of refraction is given by the following equation:
n_water * sin (A_water) = n_air * sin (A_air)
where n is the refractive index, for water it is 1.33 and for air it is 1.
The angle (A) in the air is 22.8 °, and that of the water is unknown.
Replacing these values we have to:
1.33 * sin (A_water) = 1 * 0.387
sin (A_water) = 1 * 0.387 / 1.33
A_water = arc sin (0.2907) = 16.9 °
now for the tank depth:
h = D / tan (A_water)
D = 3.25
Replacing
h = 3.25 / tan 16.9 °
h = 10.69
Therefore the depth is 10.69 meters.