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:
a=11
Step-by-step explanation:
used MathPapa
Answer:
The answer to your question is x = 3
Step-by-step explanation:
Data
m∠2 = 10x + 10
exterior angle = 110°
x = ?
Process
1.- Find the measure of the angle supplementary to the angle 110°. It will be angle y.
180° = 110° + y
- Solve for y
y = 180 - 110
y = 70
2.- From the picture we conclude that the triangle is Isosceles because two of its sides measure the same.
In an Isosceles triangle two of its angles measure the same so,
180° = 70° + 70° + ∠2
- Solve for ∠2
∠2 = 180 - 70 - 70
∠2 = 40
3.- Find x
10x + 10 = 40
Solve for x
10x = 40 - 10
10x = 30
x = 30/10
x = 3
Answer:
Step-by-step explanation: