...the opposite bank to be 60°; and when he retires 100 feet from the edge of the river, he observes the angle to be 30°. Find the height of the tree and the breadth of the river. 13. In any triangle ABC the tangent of half the difference of the angles В and С is to the tangent...

...the opposite bank to be 60°; and when he retires 100 feet from the edge of the river, he observes the angle to be 30°. Find the height of the tree and the breadth of the river. 13. In any triangle ABC the tangent of half the difference of the angles В and С is to the tangent...

...tree on the opposite bank is a, and that the depression of the top of its image in the water is /3 ; find the height of the tree and the breadth of the river. 11. State and prove Demoivre's Theorem when the index is a whole number. State it completely when the...

...opposite bank to be 60°, and when he retires 40 feet from the river's edge he finds the angle to be 45°. Find the height of the tree and the breadth of the river. III. — 1. Find the highest common divisor of ab (x* + y») + xy (a2 + ft»), ab (a:3 + y3} + xy (a?y...

...tree on the opposite bank is a, and that the depression of the top of its image in the water is 3 ; find the height of the tree and the breadth of the river. 11. State and prove Demoivre's Theorem when the index is a whole number. State it completely when the...

...tree on the opposite bank to be 60° Whi-n ho retires 100 ft. from the edge of the river the angle i« 30°. Find the height of the tree and the breadth of the river. (5) In a right-angled triangle with a right angle at C, if a = 576-12, e = 873-14, find A and В :...

...angle subtended by a tree on the opposite bank to be 60°, and when he retires 40 feet from the river's bank he finds the angle to be 30° ; find the height of the tree and the breadth of the river. Ans. 20 V3; 20. 4. What is the height of a hill whose angle of elevation, taken at the bottom, was...

...angle subtended by a tree on the opposite bank to be 60°, and when he retires 40 feet from the river's bank he finds the angle to be 30° ; find the height of the tree and the breadth of the river. Ans. 20 V3 ; 20. 4. What is the height of a hill whose angle of elevation, taken at the bottom, was...

...opposite bank to subtend an angle of 7o\ He receded 20 ft.; the tree then subtended an angle of 60°. Find the height of the tree and the breadth of the river. SECOND CLASS. POETICAL LITERATURE. Time— Three Hour a. 1. What is the thesis which Goldsmith undertakes...

...opposite bank is 60° ; when he retires 100 ft. from the edge of the river the angle of elevation is 30°. Find the height of the tree and the breadth of the river. -•""11. Find the distance in space travelled in an hour, in consequence of the earth's rotation,...