Answer:
**********************868/14=62********************
Step-by-step explanation:
So you can use tan here, which is opposite/adjacent. (We're looking for the Adjacent)
Since we know Trail E is 1700, we're looking for the patch of trail A that is the adjacent. So if we put 42 into a tan calculator we get about 0.9.
So that means that 1,700 / adjacent = 0.9.
So we can also say
1,700/0.9 = adjacent
or, 1,700/0.9 = 1888.89
Now, we have the little patch of trail A in the smaller right triangle. We want to find the patch of trail A in the larger right triangle.
So just do 5,000 - 1,888.89
You get 3111.11
So if we know that's that, and we're looking for the hypotenuse, or Trail B, we can use cosine, because that's adjacent / hypotenuse.
So 42 in a cosine calculator is 0.74 ish.
So 3111.11 / hypotenuse = 0.74
Or 3111.11 / 0.74 = hypotenuse
Or 3111.11 / 0.74 = 4204
So Trail C should be 4204 feet long.
The answer to this question is 37.5%
Answer:
Δ PQT ~ Δ QRS .....{S-S-S test for similarity}...Proof is below.
Step-by-step explanation:
Given:
In Δ PQT
PQ = 30 ft
QT = 28 ft
TP = 20 ft
In Δ QRS
QR = 15 ft
RS = 14 ft
SQ = 10 ft
To Prove:
Δ PQT ~ Δ QRS
Proof:
First we consider the ratio of the sides
..............( 1 )
..............( 2 )
..............( 3 )
So By equation ( 1 ), ( 2 ) and ( 3 ) we get
Now in Δ PQT and Δ QRS we have
Which are corresponding sides of a similar triangle in proportion.
∴ Δ PQT ~ Δ QRS .....{S-S-S test for similarity}...Proved
