Answer:
The angle of elevation of the sun from the ground to the top of a tree is
.
Step-by-step explanation:
As given
The sun from the ground to the top of a tree when a tree that is 10 yards tall casts a shadow 14 yards long.
Now by using the trignometric identity .

As figure is given below .
AB = Perpendicular = 10 yards
BC = Base = 14 yards
Putting all the values in the trignometric identity .




Therefore the angle of elevation of the sun from the ground to the top of a tree is
.
Answer: The number of different combinations of 2 vegetables are possible = 15 .
Step-by-step explanation:
In Mathematics , the number of combinations of selecting r values out of n values = 
Given : Number of available vegetables = 6
Then, the number of different combinations of 2 vegetables are possible will be :

Hence , the number of different combinations of 2 vegetables are possible = 15 .
Answer: 29.7 pounds
Step-by-step explanation:
The expression in question is w/6.
If the weight of an object on earth is w, the weight of the object on the moon is w/2.
The weight of the space suit is therefore:
= 178.2/6
= 29.7 pounds
Given, a = -65 and b = 8.
We have to find multiplication of them.
a is negative and b is positive. When we multiply them, we know that the multiplication of positive and negative is negative. That means
.
So 
=
=
= 
So we have got the required product.
Multiplication of a and b = -520.
The correct option is option C.
Answer:
18
Step-by-step explanation:
33-1
3r-9
r3-8
r means random digit
9+8+1=19