I = PRT
983.25 = (3800)(R)(3.5)
983.25 = 13300R
983.25 / 13300 = R
0.07392 = R
7.39% = R <==
Answer: Area = 28.2m²
Step-by-step explanation: The triangle YXZ is shown in the figure below.
Area of a triangle is calculated by the formula:
![A=\frac{1}{2} (base*height)](https://tex.z-dn.net/?f=A%3D%5Cfrac%7B1%7D%7B2%7D%20%28base%2Aheight%29)
According to the figure, the base of this triangle is b = 8.3m.
Height is a perpendicular line created from one side and intersecting the opposite angle.
To determine the height, use trigonometric relations to angle 68:
![sin(68)=\frac{h}{7.3}](https://tex.z-dn.net/?f=sin%2868%29%3D%5Cfrac%7Bh%7D%7B7.3%7D)
h = 7.3*sin(68)
h = 7.3*0.93
h = 6.8
Now, area of triangle YXZ is
![A=\frac{1}{2} (8.3*6.8)](https://tex.z-dn.net/?f=A%3D%5Cfrac%7B1%7D%7B2%7D%20%288.3%2A6.8%29)
A = 28.2
Area of triangle YXZ is 28.2m².
Answer:
The distance of the ship from the cliff is 38.465 feet
The height of the cliff is 46.28 feet.
Step-by-step explanation:
As shown in the figure attached
is the distance from the ship to the cliff, and
is the height of the cliff from the ship.
From trigonometry
![tan(20^o)=\frac{14}{d}](https://tex.z-dn.net/?f=tan%2820%5Eo%29%3D%5Cfrac%7B14%7D%7Bd%7D)
![d=\frac{14}{tan(20^o)}=38.465\:feet.\\\\\boxed{d=38.465ft}](https://tex.z-dn.net/?f=d%3D%5Cfrac%7B14%7D%7Btan%2820%5Eo%29%7D%3D38.465%5C%3Afeet.%5C%5C%5C%5C%5Cboxed%7Bd%3D38.465ft%7D)
This is the distance to the cliff.
And we have
![tan(40^o)=\frac{h}{d}](https://tex.z-dn.net/?f=tan%2840%5Eo%29%3D%5Cfrac%7Bh%7D%7Bd%7D)
since ![d=38.465ft](https://tex.z-dn.net/?f=d%3D38.465ft)
![h=d*tan(40^o)=38.465*tan(40^o)=32.28ft](https://tex.z-dn.net/?f=h%3Dd%2Atan%2840%5Eo%29%3D38.465%2Atan%2840%5Eo%29%3D32.28ft)
Ad the height of the cliff is just
or
![32.28+14=46.28 ft\\\\\boxed{height=46.28ft}](https://tex.z-dn.net/?f=32.28%2B14%3D46.28%20ft%5C%5C%5C%5C%5Cboxed%7Bheight%3D46.28ft%7D)
Which is the height of the cliff.
Answer:
10%
Step-by-step explanation:
1/10 = 10/100 = 10% (by definition of what percentage is)
Answer:
the above images shows the answer to the question