Grace has a 45 degree upwards angle, then the height of the lighthouse is 14'.
Case A. Kelly is 26 feet from the lighthouse.
The arcTangent of 14/26 is a 28.3 degree angle.
Case B. But if Kelly stood closer to the lighthouse, i.e. 2 feet away, then her angle is arcTangent of 14/2 = 81.9 degrees
Answer:
4,257 m²
Step-by-step explanation:
step 1
Find the lateral area of the rectangular prism (ottoman)
The lateral area is
LA=PH
where
P is the perimeter of the base
H is the height of the prism
Find the perimeter of the base P
P=2(37+21)=116 cm
we have H=30 cm
<em>Find the lateral area</em>
LA=116(30)=3,480 m²
step 2
Find the area of the top of the ottoman
B=37*21=777 m²
step 3
we know that
The fabric needed to cover the sides and top of the ottoman is equal to sum the lateral area plus the area of the top
3,480+777=4,257 m²
Slope formula

Plug in the info given from the 2 coordinates:

Simplify the slope:
<span>
Final answer: </span>
Slope=1/3
NO. To be a proportion, the have to get the same ratio, or the 1st fraction should equal the 2nd:
Is 3/4 =9/19? Certainly not, Hence it's not a ratio