The diagram above shows a semicircular a...

The diagram above shows a semicircular arch over a street that has a radius of 14 feet. A banner is attached to the arch at points A and B, such that AE=EB=5 feets. How many feet above the ground are these points of attachment for the banner, correct to the nearest tenth of a foot?

Text Solution

Verified by Experts

The correct Answer is:

`13.1`

Topper's Solved these Questions

ADDITIONAL TOPICS IN MATH
ENGLISH SAT|Exercise EXERCISE|45 Videos
ADDITIONAL TOPICS IN MATH
ENGLISH SAT|Exercise Multiple Choice|99 Videos
ADDITIONAL TOPICS IN MATH
ENGLISH SAT|Exercise PRACTICE TEST|24 Videos
COMPLEX NUMBERS
ENGLISH SAT|Exercise EXERCISE|6 Videos

Similar Questions

Explore conceptually related problems

For Question 4 and 5 refer to the diagram A flagpole that stands on level ground. Two cables, r and s, are attached to the pole at a point 12 feet above the ground and form a right angle with each other. Cable r is attached to the ground to the ground at a point that makes tanx=0.75. Q. What is the sum of the lengths of cables r and s?

Jane has to point a cylindrical column that is 14 feet high and that has a circular base with a radius of 3 feet. If one bucket of paint will cover 10pi square feet, how many whole buckets does jane need to buy in order to paint the column, including the top and bottom?

A lawn sprinkler sprays water in a circular pattern at a distance of 15 feet from the sprinkler head which rotates through the angle of (5pi)/(3) radians, as shown by the shaded area in the diagram above. What is the area of the lawn, to the nearest square foot, that recieves water from this sprinkler?

A graduation cap is tossed upward . It is f feet above the ground s seconds after it has been thown . The relation ship between f and s is given by the equation f=60 s-17 s ^(2) , where 0 le s le 3.5 . How many feet above the ground is the cap 3 seconds after it is thrown ?

A water hose pipe of cross-sectional area 5cm^(2) is used to fill a tank of 120L . It has been observed that it takes 2 min to fill the tank. Now, a nozzel with an opening of cross-sectional area 1cm^(2) is attached to the hose. The nozzel is held so that water is projected horizontally from a point 1m above the ground. The horizontal distance over which the water can be projected is (Take g=10m//s^(2)) .

With reference to the given figure, a man stands on the ground at point A, Which is on the same horizontal plane as B, the foot of the vertical pole BC. The height of the pole is 10 m . The man's eye is 2 m above the ground. He observes the angle of elevation of C, the top of the pole, as x^(@) , where tan x^(@) = (2)/(5) . Calculate : angle of elevation of the top of the pole when he is standing 15 metres from the pole. Give your answer to the nearest degree.

An unmanned satellite A and a spacecraft B are orbiting around the earth in the same circular orbit as shown. The spacecraft is ahead of the satellite by some time. Let us consider that some technical problem has arisen in the satellite and the astronaut from B has made it correct. For this to be done docking of two ( A and B ) is required (in layman terms connecting A and B ). To achieve this, the rockets of A have been fired in forward direction and docking takes place as shown in the figure below: Take mass of the earth =5.98xx10^(24)kg Radius of the earth =6400 km Orbital radius =9600km Mass of satellite A=320 kg Mass of spacecraft =3200 kg Assume that initially spacecraft B leads satellite A by 100s , i.e., A arrives at any particle position after 100 s of B’s arrival. Based on the above information answer the following questions. After once returning to the original point, i.e., the place from where the rockets have been fired, in which direction and with what extent the rockets have to be fired from the satellite to again come back in the original orbit?

ENGLISH SAT-ADDITIONAL TOPICS IN MATH-Grib-In

In the figure, MATH is a rectangle, GB=4.8, MH=6, and HT=15. The area ...
Text Solution
|
In the figure above, quadrilateral ABED, BFGC, and ACHJ are square. If...
Text Solution
|
In the figure above, the sum of the area of the three shaded semicircl...
Text Solution
|
In the figure above, each arc is a semicircle. If S is the midpoint ...
Text Solution
|
What is the distance in the xy-plane from the point (3, -6) to the cen...
Text Solution
|
In the figure above, overline(PA) is tangent to circle O at point A, o...
Text Solution
|
The diagram above shows a semicircular arch over a street that has a r...
Text Solution
|
The dimensions of a rectangular box are integers greater than 1. If th...
Text Solution
|
The Partside Packing Company needs a rectangular shipping box. The box...
Text Solution
|
A planned building was going to be 100 feet long, 75 feet deep,and 300...
Text Solution
|
A box is constructed by cutting 3-inche square from the corner of a sq...
Text Solution
|
Two spheres that are tangent to each other have columes of 36pi cubic ...
Text Solution
|
A sealed cylindrical can holds three tennis balls each with diameter o...
Text Solution
|
The slant height of a pyramid is the perpendicular distance from the v...
Text Solution
|
A bookend that weights 0.24 pounds is shaped like a pyramid with squa...
Text Solution
|
In the figure above, what is the value of sinA-cosA?
Text Solution
|
A lawn sprinkler sprays water in a circular pattern at a distance of 1...
Text Solution
|
In figure above, angles ACB and DEB are right angles, AC=15, DE=12, an...
Text Solution
|
For Question 4 and 5 refer to the diagram A flagpole that stands ...
Text Solution
|
For Question 4 and 5 refer to the diagram A flagpole that stands ...
Text Solution
|