Mathematics, 27.08.2019 23:30 nani3906

Atower has an observation deck about 200 m above ground level. about how far is it from the observation deck horizen knowing that the earth's radius is 6400km?

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Answer from: cole6229

Horizon is 35777.64 m away from observation deck.

Step-by-step explanation:

Since we have given that

Height of tower above ground level = 200 m

Radius of earth = 6400 km

Let R be the radius of earth.

Let the height of observation and

Let d be the distance from observation deck to horizon.

so, it makes a right angle triangle.

$(R+h)^2=R^2+d^2\\\\R^2+h^2+2Rh=R^2+d^2\\\\h^2+2Rh=d^2\\\\200^2+2\times 6400000\times 200=d^2\\\\40000+1280040000=d^2\\\\1280040000=d^2\\\\\sqrt{1280040000}=d\\\\d=35777.64\ km$

Hence, horizon is 35777.64 m away from observation deck.

Answer from: nina1390

He is a a distance of 50.597 km from the observable deck of horizon.

Step-by-step explanation:

The distance from a height 'h' to the observable horizon ignoring the effects due to refraction in atmosphere is given by the formula

$d=\sqrt{h(2R+h)}$

where

d = distance to observable horizon

h = height of observer from the sea level

R = Radius of earth

Applying the values we get

$d=\sqrt{0.2\times (2\times 6400+0.2)}\\\\\therefore d=50.597km$

Answer from: Quest

step-by-step explanation:

there is a formula i can give you:

it is r^2*n*sin(360/n) divided by 2 where r represents the "radius" and n is the number of sides.

plug them in:

(10sqrt(3))^2*6*sin(360/6) divided by 2

100*3*6*sin(60) divided by 2

900*sin(60)

900*sqrt(3)/2

450*sqrt(3)

approx is 779.4 cm^2

Find the area of the regular polygon. round to the nearest tenth. !

Answer from: Quest

solution:

we have to construct

∠m nt ≅ ∠p qr

the steps to draw this construction are

step 1: use a compass to draw an arc from point q which intersects the side pq at point a and the side qr at point b.

step 2: draw a segment nt and use the same width of the compass to draw an arc from point n which intersects the segment nt at a point x.

step 3:

step 4: join points n and y using a straightedge.

step 3:

option (d).maintaining the same width of the compass as ab, draw an arc from point x such that it intersects the arc drawn from n in a point y.

to draw congruent angles , 1. width of compasses while drawing two angles should be same i.e from point at which angle has to be drawn, 2.the distance between the two points where the compass intersects the two sides should be same while drawing any two congruent angles.

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