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KATRIN_1 [288]
3 years ago
12

Set Hill 1 to 75 cm and the other hills to 0 cm. What is the height in meters?

Mathematics
1 answer:
yanalaym [24]3 years ago
8 0
Cm to meter is divided by 100 so, 75 is divided by 200 is equals to 0.75 meters
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A castle has to be guarded 24 hours a day. Five knights are ordered to split each day's guard duty equally. How long will each k
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Each knight will guard <u>288 minutes</u> in one day.

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A 10-foot ladder is to be placed Against the side of the building. The base of the latter must be placed in an angle of 72° With
12345 [234]

Answer:

Distance of foot of ladder from building: <em>37.2 inches </em>

Distance of top of ladder from building's base: <em>114 inches </em>

Step-by-step explanation:

Please refer to the figure attached in the answer area.

A right angled triangle \triangle ABC is formed by the ladder with the building where hypotenuse is the length of ladder.

Hypotenuse, <em>AC </em>= <em>10 foot </em>

Also, we are given that angle made by the base of ladder with the ground is 72^\circ.

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\angle BAC = 72^\circ

Using trigonometric functions:

cos \theta= \dfrac{Base}{Hypotenuse}\\cos 72^\circ= \dfrac{AB}{AC}\\\Rightarrow 0.309 = \dfrac{AB}{AC}\\\Rightarrow AB = 10 \times 0.309\\$\approx$ 3.1 foot\\$\approx$ 37.2 inches

sin \theta = \dfrac{Perpendicular}{Hypotenuse}\\\Rightarrow  sin72^\circ = \dfrac{BC}{AC}\\\Rightarrow  0.95 = \dfrac{BC}{AC}\\\Rightarrow AB = 10 \times 0.95\\$\approx$ 9.5 foot\\$\approx$ 114 inches

Distance of foot of ladder from building: <em>37.2 inches </em>

Distance of top of ladder from building's base: <em>114 inches </em>

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