Answer:
The distance from he ball to the goal is 11.85 feet (Approx) .
Step-by-step explanation:
As given
The angle of elevation from a soccer ball on the ground to the top of the goal is 34° .
If the goal is 8 feet tall.
Now by using the trigonometric identity .
As shown in the diagram given below
Perpendicular = AB = 8 feet
Base = BC
Put all the values in the identity .
BC = 11.85 feet (Approx)
Therefore the distance from he ball to the goal is 11.85 feet (Approx) .
Answer:
The triangles Δ VWZ and Δ VXY are similar by AA criteria.
Step-by-step explanation:
See the attached diagram.
Here, VZ = 16 in and ZY = 8 in. Again, VW = 18 in and WX = 9 in.
Therefore,
So, line WZ divides the lines VY and VX in the same ratio 2 : 1.
So, Line WZ ║ Line XY
Hence, ∠ XYV = ∠ WZV {The corresponding angles as VY is a transverse}
Again, ∠ YXV = ∠ ZWV {The corresponding angles as VX is a transverse}
Therefore, the triangles Δ VWZ and Δ VXY are similar by Angle-Angle i.e. AA criteria. (Answer)
Answer:
The area is:
Step-by-step explanation:
Area of this figure is simply the product of the base and the height, as it just happens to be a slanted or inclined rectangle.
Therefore: