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For Question 4 and 5 refer to the diagra...

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 value of cosx?

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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?

A golfer standing on level ground hits a ball with a velocity of 52 m s^-1 at an angle theta above the horizontal. If tan theta = 5//12 , then find the time for which then ball is atleast 15 m above the ground (take g = 10 m s^-2) .

The angle of elevation of the top of the tower observed from each of three points A,B , C on the ground, forming a triangle is the same angle alpha. If R is the circum-radius of the triangle ABC, then find the height of the tower

A bicycle is traveling downhill at a high speed. Suddenly, the cyclist sees that a bridge ahead has collapsed, so she has to stop. What is the maximum magnitude of acceleration the bicycle can have if it is not to flip over its front wheel—in particular, if its rear wheel is not to leave the ground? The slope makes an angle of 37^@ with the horizontal. On level ground, the centre of mass of the woman–bicycle system is at a point 1.0 m above the ground, 1.0 m horizontally behind the axle of the front wheel, and 35.0 cm in front of the rear axle. Assume that the tires do not skid.

A painter needs to reach the top of a tail sign in the middle of a flat and level field .He uses a ladder of length x to reach a point on the sign 15 feet above the ground . The angle formed where the ladder meets the ground is noted in the figure below as theta , which of the following relation - ships must be true ?

A smooth semicircular wire-track of radius R is fixed in a vertical plane. One end of a massless spring of natural length 3R//4 is attached to the lowest point O of the wire-track. A small ring of mass m, which can slide on the track, is attached to the other end of the spring. The ring is held staionary at point P such that the spring makes an angle of 60^@ with the vertical. The spring constant K=mg//R . Consider the instant when the ring is released, and (i) draw the free body diagram of the ring, (ii) determine the tangential acceleration of the ring and the normal reaction.

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?

Two particles, one of mass m and the other of mass 2m, are projected horizontally towards each other from the same level above the ground with velocities 10 m/s and 5 m/s, respectively. They collide in air and stick to each other. The distance of the combined mass from point A is

A carpenter makes stools for electricians with a square top of side 0.5m and at a height of 1.5 m above the ground. Also, each leg is inclined at an angle of 60^@ to the ground. Find the length of each leg and also the lengths of two steps to be put at equal distances.

Question refer to the equation below. h(x)=-(1)/(225)x^(2)+(2)/(3)x The function h above models the path of a football when it is kicked during an attempt to make a field goal where x is the horizontal distance, in feet, from the kick, and h(x) is the corresponding height of the football, in feet above the ground. Q. The goal post is 10 feet high and a horizontal distance of 45 yards from the point at which the ball is kicked. By how many feet will be football fail to pass over the goal post?

ENGLISH SAT-ADDITIONAL TOPICS IN MATH-Grib-In
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  2. In the figure above, quadrilateral ABED, BFGC, and ACHJ are square. If...

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  3. In the figure above, the sum of the area of the three shaded semicircl...

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  4. In the figure above, each arc is a semicircle. If S is the midpoint ...

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  5. What is the distance in the xy-plane from the point (3, -6) to the cen...

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  6. In the figure above, overline(PA) is tangent to circle O at point A, o...

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  7. The diagram above shows a semicircular arch over a street that has a r...

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  8. The dimensions of a rectangular box are integers greater than 1. If th...

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  9. The Partside Packing Company needs a rectangular shipping box. The box...

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  10. A planned building was going to be 100 feet long, 75 feet deep,and 300...

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  11. A box is constructed by cutting 3-inche square from the corner of a sq...

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  12. Two spheres that are tangent to each other have columes of 36pi cubic ...

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  13. A sealed cylindrical can holds three tennis balls each with diameter o...

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  14. The slant height of a pyramid is the perpendicular distance from the v...

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  15. A bookend that weights 0.24 pounds is shaped like a pyramid with squa...

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  16. In the figure above, what is the value of sinA-cosA?

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  17. A lawn sprinkler sprays water in a circular pattern at a distance of 1...

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  18. In figure above, angles ACB and DEB are right angles, AC=15, DE=12, an...

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  19. For Question 4 and 5 refer to the diagram A flagpole that stands ...

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  20. For Question 4 and 5 refer to the diagram A flagpole that stands ...

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