Answer: option A is the correct answer.
Step-by-step explanation:
The rope, the flagpole and the ground would form a right angle triangle. The length of the rope represents the hypotenuse of the right angle triangle. The vertical height of the flagpole represents the opposite side of the right angle triangle. The distance from the point where the rope is staked to the ground to the base of the pole represents the adjacent side of the right angle triangle.
To determine the height if the flagpole h, we would apply Pythagoras theorem which is expressed as
Hypotenuse² = opposite side² + adjacent side²
Therefore,
29² = 21² + h²
841 = 441 + h²
h² = 841 - 441 = 400
h = √400 = 20 ft
Answer:
Nvm you got it then thats good
Step-by-step explanation:
Answer:
142°
Step-by-step explanation:
Sum of interior angles of a polygon= (n -2) ×180°, where n is the number of sides of the polygon
Since this polygon has 5 sides, n= 5.
Sum of interior angles
= (5 -2) ×180°
= 3 ×180°
= 540°
Sum of interior angles= 540°
5x +8+5x +10 +6x +15 +7x +2 +2x +5= 540
Grouping like terms together:
5x +5x +6x +7x +2x +8 +10 +15 +2 +5= 540
Simplify:
25x +40= 540
Bringing all constants to one side of the equation:
25x= 540 -40
25x= 500
Divide both sides by 25:
x= 500 ÷25
x= 20
The angle (7x +2)° is the largest interior angle in this polygon.
7x +2
= 7(20) +2
= 142
Thus, the largest interior angle is 142°.
<u>Check</u><u>:</u>
5x +8= 5(20) +8= 108
5x +10= 5(20) +10= 110
6x +15= 6(20) +15= 135
2x +5= 2(20) +5= 45
The other interior angles are 108°, 110°, 135° and 45°. Hence 142° is the largest interior angle in this polygon.
Answer:
FG=17/4
Step-by-step explanation:
EF+FG=EG
3+x+3=5x+1
x+6=5x+1
6-1=5x-x
4x=5
x=5/4
FG=x+3
FG=5/4 +3
= (5+12)/4
FG=17/4 or 4 1/4 or 4.25
Answer:
waterfall 5 percent
ravine 30
creek 15percent
cabin 20
hill 5 percent
bluff 10
ravin 25 percent
probability is 98 percent