Answered

Welcome to Westonci.ca, the Q&A platform where your questions are met with detailed answers from experienced experts. Explore our Q&A platform to find reliable answers from a wide range of experts in different fields. Get precise and detailed answers to your questions from a knowledgeable community of experts on our Q&A platform.

A geologist at point A measures the distance and angle of elevation to two columns of the Glen Rose formation in Texas. If the distance of side AS is 805 ft and the distance of side AN is 846 ft, compute the difference in the heights of the two columns to the nearest foot. Explain how you found your answer.

A Geologist At Point A Measures The Distance And Angle Of Elevation To Two Columns Of The Glen Rose Formation In Texas If The Distance Of Side AS Is 805 Ft And class=

Sagot :

Answer:

Difference in the heights of the columns =  59 ft

Step-by-step explanation:

Measure of side AS = 805 ft

Measure of side AN = 846 ft

From ΔABS,

sin(51°) = [tex]\frac{\text{Opposite side}}{\text{Hypotenuse}}[/tex]

sin(51°) = [tex]\frac{SB}{AS}[/tex]

sin(51°) = [tex]\frac{SB}{805}[/tex]

SB = 805×sin(51°)

SB = 625.60 ft

Similarly, from ΔACN,

sin(54°) = [tex]\frac{\text{Opposite side}}{\text{Hypotenuse}}[/tex]

            = [tex]\frac{CN}{AN}[/tex]

CN = ANsin(54°)

CN = 846×sin(54°)

CN = 684.43 ft

Difference in the heights of the columns = CN - SB

= 684.43 - 625.60

= 58.83 ft

≈ 59 ft

Thanks for using our platform. We're always here to provide accurate and up-to-date answers to all your queries. We appreciate your visit. Our platform is always here to offer accurate and reliable answers. Return anytime. Keep exploring Westonci.ca for more insightful answers to your questions. We're here to help.