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:
125
Step-by-step explanation:
Divide 50 by the 4 acres which is 12.5, then times 12.5 by 10 acres.
Answer:
3384
Step-by-step explanation:
Area of a triangle = 1/2 x base x height
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Find Height :
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3.75 = 1/2 x 2.5 x height
3.75 = 1.25 x height
height = 3.75 ÷ 1.25
height = 3 meters
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Answer: The height is 3 meters.
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1. Total
2. Deficit
( hope this helps)
