Please help need quickly
1 answer:
Answer: approximately 311 feet
I rounded to the nearest whole number since the other given values are whole numbers. The more accurate value is roughly 310.825323188148 feet.
=========================================================
Explanation:
Refer to the diagram below. When using the 47 degree as the reference angle, we know that,
- opposite side = x
- hypotenuse = 325
We can say:
sin(angle) = opposite/hypotenuse
sin(47) = x/425
425*sin(47) = x
x = 425*sin(47)
x = 310.825323188148
x = 311
The kite is approximately 311 feet off the ground.
You might be interested in
The tangent or tanθ in a right-angle triangle is the ratio of its perpendicular to its base. The height of the mountain is 3110.5767 feet.
<h3>What is Tangent (Tanθ)?</h3>The tangent or tanθ in a right-angle triangle is the ratio of its perpendicular to its base. it is given as,
where,
θ is the angle,
Perpendicular is the side of the triangle opposite to the angle θ,
The base is the adjacent smaller side of the angle θ.
The height of the mountain from the first point,
The height of the mountain from the second point,
Equating the height,
H = H
(1000+x) × tan(29°) = x tan( 34°)
x = 4611.5767 feet
Now, the height of the mountain is,
H = x tan(34°)
H = 3110.54776 feet
Hence, the height of the mountain is 3110.5767 feet.
Learn more about Tangent (Tanθ):
#SPJ1
