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postnew [5]
3 years ago
6

(Help Please) The relationship between the height of a tree, the distance between the location of a man and the base of the tree

, and the angle of elevation are represented by the diagram below.

Mathematics
2 answers:
trasher [3.6K]3 years ago
7 0

Answer:

<h2>38°</h2>

solution,

tan \: x =  \frac{ab}{bc}  \\ tan \: x =  \frac{11.3}{28}  \\ x =  {tan}^{ - 1} ( \frac{11.3}{28} ) \\  x = {tan}^{ - 1}  (0.40) \\ x = 38 \: degree

please see the attached picture..

Hope this helps..

Good luck on your assignment..

Dmitry_Shevchenko [17]3 years ago
3 0

Answer:

22 degree represents the angle of elevation,x.

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Heather received $100 for her 13th birthday if she saves it in a bank with 3% interest compounded quarterly how much money will
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Answer:

109.38

Step-by-step explanation:

Recall the formula for compound interest is as follows:

         A  =  P·(1  +  r/n)nt ,   where

    P = principal amount (initial amount deposited)

     r = annual rate of interest (in decimal form)

     t = # of years amount is deposited for

    n = # of times interest is compounded per year

    A = amount accumulated after t years, including interest

The problem asks how much money Heather will have in the bank by her 16th birthday when she deposited $100 on her 13th birthday in a bank with 3% interest compounded quarterly. From this, we have the following information:

    P = $100

    r = 0.03     ==>     3%/100% = 0.03

    t = 3 years     ==>     16 - 13 = 3

    n = 4     ==>     since there are 12 months per year and 12/4 = 3 months,

                then interest is compounded  every 3 months which is a total of 4 times per year

Therefore,

         A = P(1 + r/n)nt

            = 100(1 + 0.03/4)4·3

            = 100(1 + 0.0075)12

            = 100(1.0075)12

            = 109.38069

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Thus, Heather will have $109.38 in the bank by her 16th birthda

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Answer:

  see below

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