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°)
17/100, I believe
(the decimal would be 0.17)
Answer:
The weight of pears is 3.08 kg
Step-by-step explanation:
A farmer sells 7.7 kilograms of apples and pears.
3/5 of this weight is apples.
This means that the weight of apples is:
3/5 of 7.7
=> 
The weight of apples is 4.62 kg.
The weight of pears will therefore be:

The weight of pears is 3.08 kg.