The angle of elevation to a nearby tree from a point on the ground is measured to be 66^{\circ} ∘ . How tall is the tree if the
1 answer:
You might be interested in
Answer:
the scaled sail has lengths 1.5 inches, 2 inches, and 2.5 inches. the diagram is attached.
Step-by-step explanation:
a scale factor of 1/4 means that the lengths of each side of the sail will be reduced by 0ne-forth (0.6) its original length. Therefore the lengths of the scale drawing before and after scaling are:
6 inches = 6 × 1/4 = 6 × 0.25 = 1.5 inches
8 inches = 7 × 0.25 = 2 inches
10 inches = 10 × 0.25 = 2.5 inches.
Therefore the scaled sail has lengths 1.5 inches, 2 inches, and 2.5 inches as shown in the diagram attached.
Answer:
22.5
Step-by-step explanation:
If you expand the series, you can see the first few terms of the series:
- Putting 1 in
,
- Putting 2 in
- Putting 3 in
- Putting 4 in
We can see the series is 0, 0.5, 1, 1.5, ....
This is an arithmetic series with common difference (the difference in 2 terms) 0.5 and first term 0.
We know formula for sum of arithmetic series:
Where,
denotes the nth partial sum
is the first term (in our case it is 0)
is the common difference (difference in term and the previous term) (in our case it is 0.5)
Substituting these into the formula, we get the 10th partial sum to be:
So the sum of the first 10 terms is 22.5. Third answer choice is right.