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Two homes are located 6 miles apart, each 1 mile from a road that parallels the ocean, Sally can jog 6 mph along the road, but only 4 mph in the sand. Because of a river between the two houses, it is necessary to jog on the sand to the road, continue on the road, and then jog on the sand to get from one house to the other. For 0° <0< 90°, the time T to get from one house to the other is a function of 0, as shown below. Complete parts (a) (d). T(0) = 1+ 0° <0<90° 4 sin 0 3 tan 0 (a) Calculate the time T for 0 = 30°. How long is Sally on the paved road? T(30°) = 1.42 (Do not round until the final answer. Then round to two decimal places as needed.) For 0= 30°, Sally is on the paved road for (Do not round until the final answer. Then round to two decimal places as needed.) hour.

Two homes are located 6 miles apart, each 1 mile from a road that parallels the ocean, Sally can jog 6 mph along the road, but only 4 mph in the sand. Because of a river between the two houses, it is necessary to jog on the sand to the road, continue on the road, and then jog on the sand to get from one house to the other. For 0° <0< 90°, the time T to get from one house to the other is a function of 0, as shown below. Complete parts (a) (d). T(0) = 1+ 0° <0<90° 4 sin 0 3 tan 0 (a) Calculate the time T for 0 = 30°. How long is Sally on the paved road? T(30°) = 1.42 (Do not round until the final answer. Then round to two decimal places as needed.) For 0= 30°, Sally is on the paved road for (Do not round until the final answer. Then round to two decimal places as needed.) hour.

Algebra: Structure And Method, Book 1
Algebra: Structure And Method, Book 1
(REV)00th Edition
ISBN:9780395977224
Author:Richard G. Brown, Mary P. Dolciani, Robert H. Sorgenfrey, William L. Cole
Publisher:Richard G. Brown, Mary P. Dolciani, Robert H. Sorgenfrey, William L. Cole
Chapter4: Polynomials
Section4.10: Problems Without Solutions
Problem 11P
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Two homes are located 6 miles apart, each 1 mile from a road that parallels the ocean. Sally can jog 6 mph along the road, but only 4 mph in the sand. Because of a river between the two houses, it is necessary to jog on the sand to the road, continue on the road, and then jog on the sand to get from one house to the other. For 0° < 0 < 90°, the time T to get from one house to the other is a function of 0, as shown below. Complete parts (a)-(d). 1 T(0) = 1 + 0° <0<90° 4 sin 0 3 tan 0' (a) Calculate the time T for 0 = 30°. How long is Sally on the paved road? T(30°) = 1.42 (Do not round until the final answer. Then round to two decimal places as needed.) For 0 = 30°, Sally is on the paved road forhour. (Do not round until the final answer. Then round to two decimal places as needed.) More
Transcribed Image Text:Two homes are located 6 miles apart, each 1 mile from a road that parallels the ocean. Sally can jog 6 mph along the road, but only 4 mph in the sand. Because of a river between the two houses, it is necessary to jog on the sand to the road, continue on the road, and then jog on the sand to get from one house to the other. For 0° < 0 < 90°, the time T to get from one house to the other is a function of 0, as shown below. Complete parts (a)-(d). 1 T(0) = 1 + 0° <0<90° 4 sin 0 3 tan 0' (a) Calculate the time T for 0 = 30°. How long is Sally on the paved road? T(30°) = 1.42 (Do not round until the final answer. Then round to two decimal places as needed.) For 0 = 30°, Sally is on the paved road forhour. (Do not round until the final answer. Then round to two decimal places as needed.) More
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