MAT1800

9. [-/1 Points] DETAILS SPRECALC7 6.2.061. MY NOTES ASK YOUR TEACHER A water tower is located x = 350 ft from a building (see the figure). From a window in the building, an observer notes that the angle of elevation to the top of the tower is 390 and that the angle of depression to the bottom of the tower is 250. WATER 1390 250 x f How tall is the tower? (Round your answer to the nearest foot.) ft How high is the window? (Round your answer to the nearest foot.) ft 10. [-/1 Points] DETAILS SPRECALC7 6.2.066. MY NOTES ASK YOUR TEACHER To measure the height of the cloud cover at an airport, a worker shines a spotlight upward at an angle 750 from the horizontal. An observer D = 575 m away measures the angle of elevation to the spot of light to be 45. Find the height h of the cloud cover. (Round your answer to the nearest meter.) m h 450 750 D m 11. [-/1 Points] DETAILS MY NOTES ASK YOUR TEACHER Standing on the bank of a river, an explorer measures the angle to the top of a tree on the opposite bank to be 270. She backs up 50 feet and remeasures the angle to the top of the same tree and finds it now to be 220. Exactly how wide is the river (in ft)? 220 27 50 ft5. [11 Points] DETAILS SPRECALC7 6.2.051. MY NOTES ASK YOUR TEACHER Express the length x in terms of the trigonometric ratios of 6. 6. [11 Points] DETAILS SPRECALC7 6.2.053. MY NOTES ASK YOUR TEACHER The angle of elevation to the top of a very tall Building is found to be 7 from the ground at a distance of 1 mi from the base of the building. Using this information, find the height of the building. (Round your answer to the nearest foot.) [ J: 7. [11 Points] DETAILS SPRECALC7 6.2.057. MY NOTES ASK YOUR TEACHER A 17-ft ladder leans against a building so that the angle between the ground and the ladder is 7'4\". How high does the ladder reach on the building? (Round your answer to the nearest foot.) 8. [11 Points] DETAILS SPRECALC7 6.2.059. MY NOTES ASK YOUR TEACHER A man is lying on the beach, ying a kite. He holds the end of the kite string at ground level and estimates the angle of elevation of the kite to be 65. If the string is 425 ft long, how high is the kite above the ground? (Round your answer to the nearest foot.) th 3. [0.67\" Points] DETAILS PREVIOUS ANSWERS SPRECALC7 6.2.041. MY NOTES ASK YOUR TEACHER PRACTICE ANOTHER Solve the right triangle. 40.5 F_ind the length of the side opposite to the given angle. (Round your answer to two decimal places.) [15.5 . w J Find the length of the side adjacent to the given angle. (Round your answer to two decimal places.) 43.37 X Find the other acute angle. 31: 8 rad VI 4. [-11 Points] DETAILS SPRECALC? 6.2.043. MY NOTES ASK YOUR TEACHER Solve the right triangle. 106 Find the length of the side adjacent to the given angle. (Round your answer to two decimal places.) [: Find the length of the hypotenuse. (Round your answer to two decimal places.) [ . Find the other acute angle. 8. [0.5/1 Points] DETAILS PREVIOUS ANSWERS SPRECALC7 6.3.056. MY NOTES ASK YOUR TEACHER PRACTICE ANOTHER If 0 = 7/3, find the value of each expression. (Round your answers to three decimal places, if necessary.) sin2(0) = sin (02) = 0.885 X Need Help? Read It