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3 years ago

Can you please help me

Mathematics

1 answer:

miv72 [106K]3 years ago

3 0

The slope is 1/2 cuz its rise over run

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Jack looks at a clock tower from a distance and determines that the angle of elevation of the top of the tower is 40°. John, who

zmey [24]

Answer:

18.7939 m

Step-by-step explanation:

-Let x be the distance between John and clock tower.

-Let y be the vertical distance from the eyes of the two men standing to the top of the clock tower.

#Taking the right triangle ACD:

$\Tan \ theta=\frac{Perpendicular \ Height}{Base}\\\\Tan \ 60\textdegree=\frac{y+1.5}{x}\\\\y=x \ Tan \ 60\textdegree -1.5$

#Taking the right triangle ABD:

$\Tan \ theta=\frac{Perpendicular \ Height}{Base}\\\\Tan \ 40\textdegree=\frac{y+1.5}{x+20}\\\\y=(x+20)\ Tan \ 40\textdegree -1.5$

#We equate the two yo solve for x and y;

$(x+20)\ Tan \ 40\textdegree -1.5=x\ Tan \ 60\textdegree -1.5\\\\(x+20)\ Tan \ 40\textdegree=x\ Tan \ 60\textdegree\\\\0.8391x+16.7820=1.7321x\\\\x=18.7939$

Hence, John's distance from the tower's base is 18.7939 m

8 0

3 years ago

Using the distributive property method on 6x32 and 7x29

Maru [420]

$6\cdot32=6(30+2)=(6)(30)+(6)(2)=180+12=192\\\\7\cdot29=7(30-1)=(7)(30)-(7)(1)=210-7=203$

6 0

4 years ago

Read 2 more answers

A square rug has an area of 1.44m ^2. Find the length of a side of the rug.

Juli2301 [7.4K]

the answer is 42.77...........................................

5 0

3 years ago

Find the surface area of the pyramid.

Sphinxa [80]

SA= a+1/2(p)(h)

SA= 18+1/2( 18)(5.2)

SA= 18+46.8

SA=64.8

4 0

3 years ago

What is <br><br> 0.3(−32.48−14.02)

shtirl [24]

Answer:

-13.95

Step-by-step explanation:

0.3(-32.48-14.02)

0.3(-46.5)

=-13.95

hope this helps!

8 0

3 years ago