Answer:
148ft
Step-by-step explanation:
To solve this question, you'll have to imagine the statue makes a right angle triangle with the base since it has an angle of elevation from the base to the top of the torch.
Assuming the height from the pedestal to the top of the torch is y
The height of the statue is x
But we know the height of the pedestal = 150ft
The distance from the observer to the base of the pedestal = 250ft
And the angle of elevation = 50°
See attached document for better illustration.
Tanθ = opposite / adjacent
θ = 50°
Adjacent = 250
Opposite = y
Tan50 = t / 250
y = 50 × tan50
y = 50 × tan50
y = 50 × 1.1917
y = 297.925ft
The height of the statue from the base of the pedestal to the top of the torch is 297.925ft
The height of the statue = x
x = (height of the statue + height of the pedestal) - height of the pedestal
x = y - 150
x = 297.925 - 150
x = 147.925ft
Approximately 148ft
The height of the statue is 148ft
Answer:
E) 9/12
Step-by-step explanation:
well first you need to know the number of non-red objects. There are 12 total so 12-3=9 non-red objects
9 out of 12 are non-red which is the exact same as the number of chances you have. 9/12
Answer:
x=17
Step-by-step explanation:
well the triangles are congruent so that equation has to equal 61, so set it equal to 61, once you do that subtract 10 with 61 giving you 51, then divide 3 with 51 and you get 17

63 because both angles are the same
Answer:
1/3
Step-by-step explanation:
(5 + 4 + 3 + 3) x 2 = 30
Multiplied by two because two marbles are being picked.
10/30 = 1/3