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Question 48952: 1. Two sides of a parallelogram measure 60 centimeters and 40 centimeters . If one angle of the parallelogram measures 132 degrees find the length of each diagonal.
2. The lengths of the sides of a triangle are 74,38, and 88 feet. What is the length of the altitude drawn to the longest side.
3. A 757 passenger jet and a 737 passenger jet are on their final approaches to san diago international airport.
a. The 757 is 20 thousand feet from the ground, and the angle of depression to the tower is 6 degrees. Find the distance between the 757 and the tower.
b. The 737 is 15 thousand feet from the ground the angle of depression to the tower is 3 degrees. What is the distance between the 737 and the tower
c. How far apart are the jets
Answer by venugopalramana(3286)   (Show Source):
You can put this solution on YOUR website! 1. Two sides of a parallelogram measure 60 centimeters and 40 centimeters . If one angle of the parallelogram measures 132 degrees find the length of each diagonal.
2. The lengths of the sides of a triangle are 74,38, and 88 feet. What is the length of the altitude drawn to the longest side.
3. A 757 passenger jet and a 737 passenger jet are on their final approaches to san diago international airport.
a. The 757 is 20 thousand feet from the ground, and the angle of depression to the tower is 6 degrees. Find the distance between the 757 and the tower.
b. The 737 is 15 thousand feet from the ground the angle of depression to the tower is 3 degrees. What is the distance between the 737 and the tower
c. How far apart are the jets
1.D1^2=L^2+B^2-2LBCOS(T)…WHERE D1 = ONE DIAGONAL…L=ONE SIDE…B=ADJACENT SIDE…T=ANGLE BETWEEN 2 ADJACENT SIDES.
AND...D2^2=L^2+B^2+2LBCOS(T)…WHERE D1 = ANOTHER DIAGONAL…L=ONE SIDE…B=ADJACENT SIDE…T=ANGLE BETWEEN 2 ADJACENT SIDES.
D1^2= 8407.658546 D1= 91.69328518
D2^2= 1992.341454 D2= 44.63565227
2.AREA OF TRIANGLE=SQRT[S(S-A)(S-B)(S-C)]…S=(A+B+C)/2….WHERE A,B,C ARE SIDES.
S= 100 AREA= 1390.827092
AREA =0.5*H*88
H=A/44= 31.60970664
3a.H=20000 A=6 DEG. NEGLECTING TOWER HT…TAN(A)=H/S….WHERE S IS THE DISTANE FROM TOWER
S=H/TAN(A)= 190384.5146
3B.H=15000 A=3 DEG. NEGLECTING TOWER HT…TAN(A)=H/S….WHERE S IS THE DISTANE FROM TOWER
S=H/TAN(A)= 286362.4894
3C.DISTANCE BETWEEN THEM IF THEY ARE APPROACHING FROM SAME DIRECTION = 286362.5-190384.5= 95977.97474
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