Wataalam wa Mathematics naomba msaada wa hili swali

crankshaft

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Kitabu cha tie book 4 page 183 , swali la 9, nalikopi kama lilivyo.

a Ladder lies along a vertical wall. If the ladder makes angles of 75.17 and 60.45 to the horizontal with 3m between the two angles. find
(a) The length of the ladder,
(b) The distance from the foot of the ladder to the wall.

ans(a)11.3m (b)5.6m
 
Kitabu cha tie book 4 page 183 , swali la 9, nalikopi kama lilivo.

a Ladder lies along a vertical wall. If the ladder makes angles of 75.17 and 60.45 to the horizontal with 3m between the two angles. find
(a) the length of the ladder,
(b) the distance from the foot of the ladder to the wall.

ans(a)11.3m (b)5.6m

Kwahiyo unataka nini maana majibu tayari
 
Since the ladder makes an angle of 75.17 degrees with the horizontal, we can write:
tan(75.17)=x3
Solving for x, we get:
x=tan(75.17)3
Now, using the Pythagorean theorem, we can write:
L2=x2+32
Substituting our expression for x into this equation and solving for L, we get:
L=(tan(75.17)3)2+32≈11.3m
So, this is how 11.3m is obtained as the length of the ladder.
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the ladder makes angles of 75.17 and 60.45 degrees to the horizontal with 3m between the two angles. The length of the ladder is 11.3m and the distance from the foot of the ladder to the wall is 5.6m.

To show how 5.6m was obtained, we can use trigonometry.

Since the ladder makes an angle of 75.17 degrees with the horizontal, we can use the tangent function to find the distance from the foot of the ladder to the wall: tan(75.17) = opposite/adjacent.

The opposite side is the distance from the foot of the ladder to the wall (which we are trying to find), and the adjacent side is 3m (the distance between the two angles). Solving for opposite, we get: opposite = adjacent * tan(75.17) = 3 * tan(75.17) ≈ 5.6m.

Therefore, the distance from the foot of the ladder to the wall is approximately 5.6m.
=
Credit | gpt-4
 
Since the ladder makes an angle of 75.17 degrees with the horizontal, we can write:
tan(75.17)=x3
Solving for x, we get:
x=tan(75.17)3
Now, using the Pythagorean theorem, we can write:
L2=x2+32
Substituting our expression for x into this equation and solving for L, we get:
L=(tan(75.17)3)2+32≈11.3m
So, this is how 11.3m is obtained as the length of the ladder.View attachment 2637143

Asante,
japo njia imeleta jibu lakini haipo sawa na swali. Ndio maana hata angle ya pili hajatumia na hajatupa diagram.
 
Kitabu cha tie book 4 page 183 , swali la 9, nalikopi kama lilivo.

a Ladder lies along a vertical wall. If the ladder makes angles of 75.17 and 60.45 to the horizontal with 3m between the two angles. find
(a) the length of the ladder,
(b) the distance from the foot of the ladder to the wall.

ans(a)11.3m (b)5.6m
Swali haliko Sawa mkuu. Sijui kama umelikopi Sawa au umetype vibaya. Kulingana na maelezo kwenye swali tayari ladder ina 3 m between the two angles 60.45 na 75.17.
 
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