Answer:
m2 will be 78 because sum of angles in a strt line is 180 hence if m1 is 102 then m2 will be (180-102) i.e.78
 
        
                    
             
        
        
        
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.
 
        
             
        
        
        
30/2 = 15
it could be any positive number that is smaller than 15
 
        
             
        
        
        
Answer:It should be x=1 not sure thought. 
Step-by-step explanation: