The line joining the top of a hill to the foot of the hill makes angle...
Here the distance from the foot to the guest house is 100 m and is inclined at 45� so..
Tan45�=Height from Ground/The distance
we know tan 45=1
so 1=height from ground/100
niw on cross multiplication
height from ground= 100m the answer is 100m
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The line joining the top of a hill to the foot of the hill makes angle...
The Relationship between the Hill, Temple, and Guest House
The hill, temple, and guest house form a geometric relationship that can be understood by analyzing the given information. Let's break down the details and explain them step by step.
1. The Line Joining the Top of the Hill to the Foot of the Hill
This line represents the slope of the hill, connecting its highest point (top) to its lowest point (foot). It makes an angle of 30 degrees with the horizontal through the foot of the hill. This means that if we draw a horizontal line passing through the foot of the hill, the line joining the top of the hill to the foot will form a 30-degree angle with it.
2. The Temple at the Top of the Hill
The temple is positioned at the highest point of the hill. It is situated where the line joining the top of the hill to the foot intersects the hill's peak. This means that if we were to draw a straight line from the foot of the hill to the top, it would pass directly through the temple.
3. The Guest House Halfway from the Foot to the Top
The guest house is located halfway between the foot and the top of the hill. As the line joining the top of the hill to the foot represents the slope of the hill, the guest house would lie along this line, specifically at its midpoint.
Visual Representation:
To better understand this relationship, visualize a hill with its top and foot. Draw a horizontal line passing through the foot of the hill. From the top of the hill, draw a line making a 30-degree angle with the horizontal line. The temple should be situated at the intersection of these two lines. Halfway between the foot and the top, mark the position of the guest house along the slope line.
This geometric relationship allows for a clear understanding of the hill, temple, and guest house's positions relative to each other. The temple stands at the highest point on the hill, while the guest house is located halfway up the slope.
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