Mathematics, 11.11.2019 13:31, chayaharroch03

Consider the diagram shown where the sun is 20° above the horizon. how long is the shadow cast by a building 150 ft tall? (to the nearest ft)

Consider the diagram shown where the sun is 20° above the horizon. how long is the shadow cast by a

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answered: Enaszr9657

ANSWER

The length of the shadow is
412ft.

EXPLANATION

The shadow cast by the building is
$b \: ft$
long.

We use trigonometry to determine the length of b.

is the length of the side that is adjacent to the 20° angle.

We also know the length of the side that is opposite to the 20° angle to be 150ft.

We now use the tangent ratio to determine the value of b.

$\tan(20 \degree) = \frac{length \: of \: opposite \: side}{length \: of \:adjacent\: side}$

$\Rightarrow \: \tan(20 \degree) = \frac{150ft} {b \: ft}$

$\Rightarrow \: b = \frac{150} {\tan(20 \degree)}$

$\Rightarrow \: b = 412.122ft$

To the neatest feet,the length of the shadow is

412ft.

answered: Guest

ok so the answer to your question is simple as long as you look at the different dimensions that contain the exemplary letters that combined in the right order give you words that eventually within the 5th dimension will conform and give you the correct answer to your question. hope i , stop looking at this easily, look at it with a spectral view.

step-by-step explanation:

told you

answered: Guest

Answer: question no. 1 -a. yes, the sides are in the ratio 2 : 5.question no. 2 -b. 59°question no. 3 -c. angles x and y are remote interior angles.question no. 4 -d. 90°, 45° and 45°question no. 5 -b. mn and qrstep-by-step explanation: question no. 1 -rs : xu = 3 : 7.5 = 2 : 5rt : x? = 6.4 : 16 = 2 : 5st : u? = 6 : 15 = 2 : 5as the ratios of all sides are equivalent, the triangles must be congruent and the sides must be proportional.therefore, the answer is: a. yes, the sides are in the ratio 2 : 5.question no. 2 -in the second diagram, angle b is the only letter not shown. therefore, the number must be equivalent to angle b.if we substitute the value of angle b as being 22° in the first diagram, we can now use the angle sum of a triangle to obtain the value of angle a.angle sum of a triangle = 180°therefore: let angle a = aa + 99 + 22 = 180a = 180 - 99 - 22a = 59°therefore, the answer is: b. 59°question no. 3 -angles x and y don't share the vertex of the triangle with the exterior angle w. remote interior angles don't share a vertex of a triangle with an exterior angle. this means that angles x and y are remote interior angles.therefore, the answer is: c. angles x and y are remote interior angles.question no. 4 -the sum of all interior angles of a triangle must be equivalent to 180°.90°, 45° and 45° are the only set of angle measures that are equivalent to 180°.therefore, the answer is: d. 90°, 45° and 45°question no. 5 -the only pair of sides stated in the options which are corresponding are mn and qr.therefore, the answer is: b. mn and qr.

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Consider the diagram shown where the sun is 20° above the horizon. how long is the shadow cast by a...