Mathematics: bird is flying directly above a tree you are standing 40 feet away from the tree the angle of elevation to the top of the tree is 32 degrees and the angle of elevation to the bird is 42Â° how far above the tree is the bird

bird is flying directly above a tree you are standing

send2tejas

16.03.2022

11 ft

Step-by-step explanation:

Given

The boy is standing 40 feet away from the tree

the angle of elevation for the tree is $32^{\circ}\\$

the angle of elevation for the bird is $42^{\circ}\\$

using figure

$\frac{h+x}{40}=\tan 42^{\circ}\\h+x=40\tan 42^{\circ}\ldots (i)\\Now,\\\tan 32^{\circ}=\frac{h}{40}\\h=40\tan 32^{\circ}$

Put the value of h in equation (i)

$40\tan 32^{\circ}+x=40\tan 42^{\circ}\\x=40[\tan 42^{\circ}-\tan 32^{\circ}]\\x=40[0.9-0.624]=0.276\times 40=11.04\ ft$

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1Angel2Got3Brains

17.06.2022

The second option ,$ 352.95 is correct

Step-by-step explanation:

The total cost of the home is the list price of $89,000 plus the sales tax of 4.2%

total cost=$89,000+($89,000*4.2%)=$92,738

loan amount=total cost-down payment=92738

-3000=$89738

APR is 4.75% since they have an excellent credit score

interest for first month=89738

*4.75%/12=$ 355.21

Principal payment in first month=total payment-interest=925.67- 355.21 =$570.46

principal left after first payment=$89,738

-$570.46=$89,167.54

second month interest payment= 89,167.54*4.75%/12=$ 352.95

The correct option is $ 352.95 which is the second option

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