A tree Casts a 9 foot shadow at the same time that a person 6 foot tall casts a 4 foot shadow. what is the height of the tree?

Mathematics

2 answers:

Anvisha [2.4K]3 years ago

7 0

6 foot, as the 6 foot person casting a 4 foot shadow provides us with the 3:2 thing:shadow ratio

raketka [301]3 years ago

7 0

Answer:

13.5

Step-by-step explanation:

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caleb and emily are standing 100 yards from each other. caleb looks up at a 45 degree angle to see a hot air balloon. Emily look

Sunny_sXe [5.5K]

Check the picture below.

thus then

$\bf \begin{cases}
y=100-a\\
y=a\sqrt{3}
\end{cases}\implies 100-a=a\sqrt{3}\implies 100=a+a\sqrt{3}
\\\\\\
100=a(1+\sqrt{3})\implies \boxed{\cfrac{100}{1+\sqrt{3}}=a}
\\\\\\
\textit{what is the altitude \underline{y} then?}\qquad y=100-a
\\\\\\
y=100-\cfrac{100}{1+\sqrt{3}}\implies y\approx 63.39745962156~yards$

8 0

3 years ago

Read 2 more answers

8(2x-3)-6x if 3=x and simplify

Rom4ik [11]

Simplify the expression:

8(2x - 3) - 6x = 8×2x - 8×3 - 6x = 16x - 24 - 6x = 10x - 24

for x=3

put value of "x" to the expression:

<u>10×3 - 24 = 30 - 24 = 6</u>

5 0

3 years ago

The height of a stuntperson jumping off a building that is 20 m high is modeled by the equation h = 20 -57, where t is the time

cupoosta [38]

A stuntman jumping off a 20-m-high building is modeled by the equation h = 20 – 5t2, where t is the time in seconds. A high-speed camera is ready to film him between 15 m and 10 m above the ground. For which interval of time should the camera film him?

Answer:

$1\leq t\geq \sqrt{2}$