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Kennedy D'Amore

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3y ago
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15y ago

The height, h, is given by the length of the ladder times the sin of the angle subtended with the ground h = 40*sin(75) = 38.64 feet

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Adamaris Lemus Vaca

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2y ago

A 30ft ladder is leaning against the wall making an angle of 47 degrees with the ground. How far is the base of the ladder from the wall?

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Q: A 40 foot ladder is placed against a building the ladder forms a 75 degree angle with the ground How high up the building does the ladder reach?
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A ladder that leans against a building makes an angle of 49 degree with the ground and reaches a point on the building 12m above the ground Find the length of the ladder to the nearest meter?

The ladder forms a right angle with the building: the ground and the building forming the right angle and the ladder forming the hypotenuse. If the length of the ladder is L metres, then sin(49) = 12/L So L = 12/sin(49) = 15.9 = 16 metres.


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If A ladder leaning against a wall makes a 60 angle with the ground the base of the ladder is 3 m from the building how high above the ground is the top of the ladder?

This answer uses trigonometry to avoid a lot of work:tangent = opposite/adjacent and tangent*adjacent (base of ladder from the building) = opposite (height of ladder above ground)So: tangent 60 degrees*3 = 5.196152423Therefore: Top of the ladder above ground = 5.2 meters correct to one decimal place.More laborious methodThe right triangle formed by the wall, ground and ladder has sides in the ratio of 1::2::sq-rt-of-3. The shortest side is the one opposite the 30 degree angle, i.e., the given distance from wall to base of the ladder--3 m.The length of the ladder represents the hypotenuse of the triangle, and is twice as long, hence 6 m.And the height of the ladder's top from the ground is proportional to the third side whose length is sq-rt-3 times that of the shortest side. Sq-rt-3 is about 1.732, so height of the ladder's top at the wall is about 5.20 m, or 520 cm.