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2 years ago

Which is greater 27 or 72

Mathematics

2 answers:

svetoff [14.1K]2 years ago

7 0

Answer:

72??? For greater wise? Then yeah, 72.

Step-by-step explanation:

masha68 [24]2 years ago

6 0

Answer:

there both equal if you add 2 and 7 equals 9

if you had 7 and 2 equals 9

Step-by-step explanation:

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The angle of elevation of the top of a radio mast from a point due east of it and 96 m away from its base is 30°. From another p

marshall27 [118]

Answer:

32 m

Step-by-step explanation:

<u>Trigonometric ratios</u>

$\sf \sin(\theta)=\dfrac{O}{H}\quad\cos(\theta)=\dfrac{A}{H}\quad\tan(\theta)=\dfrac{O}{A}$

where:

$\theta$ is the angle
O is the side opposite the angle
A is the side adjacent the angle
H is the hypotenuse (the side opposite the right angle)

Calculate the height of the radio mast using the tan trig ratio.

Given:

$\theta$ = 30°
O = h (height of radio mast)
A = 96 m

$\implies \sf tan(30^{\circ})=\dfrac{ \sf h}{96}$

$\implies \sf h=96 \tan (30^{\circ})$

$\implies \sf h=\dfrac{96 \sqrt{3}}{3}$

$\implies \sf h=32 \sqrt{3}\:\:m$

To calculate the distance from the second point to the base of the mast, use the tan trig ratio:

Given:

$\theta$ = 60°
O = 32√3 m
A = d

$\implies \sf tan(60^{\circ})=\dfrac{ \sf 32 \sqrt{3}}{d}$

$\implies \sf \sqrt{3}=\dfrac{ \sf 32 \sqrt{3}}{d}$

$\implies \sf d=\dfrac{ \sf 32 \sqrt{3}}{\sqrt{3}}$

$\implies \sf d=32\:\: m$

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