Pembahasan Latihan Soal Matematika 4

Question:
Consider the following figure!

The height of tower from above figure is ....

Answer:
First, determine the distance between the sea level with the base tower. Use phytagorean theorem!

Because of the angle, 45 degrees, 45 degrees, and 90 degrees, then the triangle is right-angled isosceles. If the base and height of the triangle we let x, then:
$x^{2}+x^{2}=(1,2\sqrt{2})^{^{2}}km$
$2x^{2}=(1,2\sqrt{2})^{^{2}}km$
$2x^{2}=(2,88) km$
$x^{2}=1,44 km$
$x=1,2 km$
Next, determine the distance between the sea level with the top tower

According the ratio comparison of special angles in a triangle, known comparison side front corner of 30 degrees, 60 degrees, and 90 degrees are $x,x\sqrt{3},2x$ , so:
$x= 1,2 km$
$x\sqrt{3}=1,2\sqrt{3}km$

The height of tower is the difference of distance between the sea level with the base tower and the distance between the sea level with the top tower, so that:
height of tower is $1,2\sqrt{3}-1,2$ km.

Pembahasan Latihan Soal Matematika 4

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