i)
Pythagorean's theorem: √50
j)
Pythagorean's theorem: √1/2
Answer:
The height of the tree is about 30 feet.
Step-by-step explanation:
tan(55) = h/21
*21 *21
21*tan(55)=h
29.99=h
h=29.99=30 feet
Answer: x = 35
Explanation: In this problem, notice that D is being divided by 5,
so to get D by itself, we need to multiply both sides of the equation by 5.
Notice that on the left side, the 5 and 5 cancel
each other out, so we are just left with D.
On the right side, we have (7)(5) which is 35.
So x = 35.
Finally, remember that we can check our answer
by plugging a 35 back into the original equation.
So we have
.
Since this is a true statement, we know that our answer is correct, x = 35.