Use Pythagorean Theorem of a^2 + b^2 = c^2 where a and b are the legs of the triangle set up by the house height and the ground, and c is the hypotenuse or how long the ladder is. C is going to be our unknown.
Just plugging in you get 25^2 + 35^2 = c^2. Simplify to 625 + 1225 = c^2. Simplify again to 1850 = c^2. The square root both sides to isolate the variable c. C = sqrt(1850) or approximately 43.0116 feet if rounded to 4 decimal places.
The ladder is approximately 43.0116 feet long.
1. -2
2. 5
3.-15
4.-5
5. 5
6.-9
7. 2
8. -9
9.9
10.-3
Step-by-step explanation:
Find the product, sum and factors which are P=56, S=15 and F=8,7 respectively.
r²+15r+56=0
replacing with the factors in the equation
=> r²+8r+7r+56=0
r(r+8)+7(r+8)=0
(r+8)(r+7)=0
=> r= –8 and –7
Answer:
D. 
Step-by-step explanation:
Recall: SOH CAH TOA
Thus,
Tan A = Opposite/Adjacent
Reference angle (θ) = A
Length of side Opposite to <A = 15
Length of Adjacent side = 8
Plug in the known values
