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:
A multiple choice question with 6 options will have a 16.7% chance of getting the answer correct, and a ratio of 1:6.
Step-by-step explanation:
You have a 1 in 6 chance of getting the answer correct, which can be represented with the fraction \frac{1}{6} .
To get a percentage, simply divide the 1 by the 6 and you will get an answer of 0.16666667. Multiply this by 100 and you have your answer.
To get a ratio, convert the fraction to a ratio making the left side of the ratio the numerator (the 1) and the right side the denominator (the 6).
The answer is B. 55 degress
Answer:
Hi How are you doing today???
Answer:
7
Step-by-step explanation:
7*4=28 which is the closest u can get to 30 with out going past it
