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3 years ago

Find the value of x. Please help! Thanks.

Mathematics

1 answer:

emmasim [6.3K]3 years ago

8 0

Answer:

$\huge\boxed{x=\sqrt{30}}$

Step-by-step explanation:

ΔABC and ΔBDC are similar (AAA).

Therefore the corresponding sides are in proportion:

$\dfrac{AC}{BC}=\dfrac{BC}{CD}$

substitute

$AC=7+3=10\\{BC}=x\\CD=3$

$\dfrac{10}{x}=\dfrac{x}{3}$ cross multiply

$(10)(3)=(x)(x)\\\\30=x^2\\\\x^2=30\to x=\sqrt{30}$

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Furkat [3]

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2 years ago

A point on the top of the Leaning Tower of Pisa is shifted about 13.5 ft horizontally compared to the tower's base. To the neare

madam [21]

Answer:

$4.15^0.$

Step-by-step explanation:

Given,

Leaning Tower of Pisa is shifted, P = 13.5 ft

Height of Leaning Tower of Pisa, B = 186 ft

Now, degree of tilt of the tower from vertical

$\tan \theta = \dfrac{P}{B}$

$\tan \theta = \dfrac{13.5}{186}$

$\tan \theta = 0.0725$

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3 years ago