Answer:
32√5
Step-by-step explanation:
We have the right triangles PQA and PQB as well as the given right triangle QAB.
cot(PAQ) = 2/5 = QA/PQ
cot(PBQ) = 3/5 = QB/PQ
cot(PAQ) / cot(PBQ) = (2/5) / (3/5) = 2/3
cot(PAQ) / cot(PBQ) = (QA/PQ) / (QB/PQ) = QA / QB
QA / QB = 2/3
QA = (2/3) QB
QB = (3/2) QA
By the Pythagorean Theorem we have:
(QA)² + 32² = (QB)²
(QA)² + 32² = (3/2 QA)²
(QA)² + 1024 = (9/4) (QA)²
(5/4) (QA)² = 1024
(QA)² = (4/5)1024 = 4096/5
QA = 64/√5
Solve for PQ.
cot(PAQ) = QA/PQ
PQ = QA / cot(PAQ)
PQ = (64/√5) / (2/5) = 32√5
The height of the tower is 32√5.
Answer:r = -1
Step-by-step explanation:
8+8r-(3+3r)=0
We add all the numbers together, and all the variables
8r-(3r+3)+8=0
We get rid of parentheses
8r-3r-3+8=0
We add all the numbers together, and all the variables
5r+5=0
We move all terms containing r to the left, all other terms to the right
5r=-5
r=-5/5
r=-1
Hope this helps
1/6 (divide each by 2)
4/24 (multiply each by 2)
Answer: 22/20 in simplest form would be 11/10.
Step-by-step explanation:
To find simplest form, you need to reduce the fraction down by a common factor, for instance 2. 22/2 is 11 (which is your numerator) and 20/2 is 10 (which is your denominator).
