Answered

At Westonci.ca, we connect you with experts who provide detailed answers to your most pressing questions. Start exploring now! Explore comprehensive solutions to your questions from knowledgeable professionals across various fields on our platform. Our platform offers a seamless experience for finding reliable answers from a network of knowledgeable professionals.

Two silos are 25 meters apart. The height of the shorter silo is 23 meters. The angle of

elevation from the shorter silo to the taller silo is 30°. What is the height of the taller silo?

Sagot :

akposevictor

*see attachment for diagram

Answer:

37 m

Step-by-step explanation:

First, use trigonometric ratio to find the distance between the top of the shorter silo to the top of the taller silo.

Let the distance between the top of the smaller silo and the top of the taller silo be x.

Thus, we would have:

Tan 30 = opp/adj = x/25

Tan 30 = x/25

Multiply both sides by 25

25*Tan 30 = x

x = 14 m (nearest meter)

The height of the taller silo = height of the smaller silo + x

= 23 m + 14 m

= 37 m

View image akposevictor
Thank you for choosing our platform. We're dedicated to providing the best answers for all your questions. Visit us again. We hope you found this helpful. Feel free to come back anytime for more accurate answers and updated information. Thank you for trusting Westonci.ca. Don't forget to revisit us for more accurate and insightful answers.