Answer:
100.0 feet
Step-by-step explanation:
For an acute angle in a right triangle, the cotangent function is the ratio of the adjacent side to the opposite side:
cot(16°42') = (distance to goal)/(30 ft)
Multiplying by the denominator, we have ...
(distance to goal) = (30 ft)cot(16°42') = (30 ft)(3.33317) ≈ 100.0 ft
The football is 100.0 feet from the base of the goal.
_____
cot(16°42') = tan(73.3°)
Answer:
x = 5 , y = 5
Step-by-step explanation:
Using the sine and cosine ratios in the right triangle and exact values.
sin30° = 
, cos30° = 
, then
sin30°= 
= 
= ( cross- multiply )
2x = 10 ( divide both sides by 2 )
x = 5
and
cos30° = 
= 
= ( cross- multiply )
2y = 10 ( divide both sides by 2 )
y = 5
Answer:
5) p=67.5
6) p=60.9
Step-by-step explanation:
To find the perimeter of a polygon you add all the side lengths together.
Step 1:
11.3+11.3+23.3+21.6=67.5
Step 2:
19.7+14+9.3+17.9=60.9
Hey Kiddo.
The domain is the first number of each set.
Domain, 3, 6, -1, 5, -4
