Isabell is standing at the top of a waterslide that leads to a pool below. The angle of depression from top of the slide to the
pool is 31.66°, and the slide is 46 feet long. How far is the top of the slide from the ground? Round your answer to the nearest foot. 22 feet 24 feet 39 feet 72 feet
1 answer:
Answer:
71.60ft
Step-by-step explanation:
Hello,
The question above requires us to use find the relationship between the angle and the length of the slide.
To solve this question, it is pertinent to get the diagram correctly so as to get the answer right.
See attached document for better illustration.
From the diagram,
We have the value of the opposite side or the triangle, and the angle of depression.
Using SOHCAHTOA,
Tanθ = opposite / adjacent
θ = 31.66°
Opposite = 46ft
Adjacent = x
Tanθ = opp / adj
Tan31.66 = 46 / x
X = 46 / tan31.66
X = 46 / 0.6166
X = 71.60ft
The height of the slide is 71.60ft
You might be interested in
Answer:
1.y−7=3(x+3)
2.y=3x+16
Step-by-step explanation:
use point-slope formula to find the slope and plug it into the equation
y-y₁=m(x-x₁)
slope= -
plug in the value of x and y from both of the coordinates into this equation and then use one set of points and slope to get your equation
Answer:
The boots will be $58.75
Step-by-step explanation:
first you cross multiply
x
you then get 1,657.04= 100x, so divide by 100 on both sides to get
16.5704 = X
Subtract X (the 22% discount amount) from the original price to get the new price of $58.75!