Answered

At Westonci.ca, we make it easy to get the answers you need from a community of informed and experienced contributors. Our platform offers a seamless experience for finding reliable answers from a network of experienced professionals. Connect with a community of professionals ready to provide precise solutions to your questions quickly and accurately.

The angle of elevation from a point on the ground to the top of a tower is 36° 30'. The angle of elevation from a point 140 feet farther back from the tower is 25° 51'. Find the height of the tower. Round your answer to the hundredths place.

Sagot :

oladayoademosu

Answer:

67.83 feet

Step-by-step explanation:

Let h be the height of the tower and d be the distance from the point on the ground to the tower at an angle of elevation of 25° 51' from the tower. The line of sight of this point from the top of the tower, h and d form a right-angled triangle with the line of sight at an angle of elevation of 25° 51' being the hypotenuse side.

Using trigonometric ratios,

tan25° 51' = h/d

h = dtan25° 51'

We convert to degrees 25° 51'

25° 51' = 25° + 51' × 1°/60' = 25° + 0.85° = 25.85°

So, h = dtan25.85°

d = 140 feet

h = 140tan25.85°

h = 140 × 0.4845

h = 67.83 feet

Thank you for visiting. Our goal is to provide the most accurate answers for all your informational needs. Come back soon. Thanks for stopping by. We strive to provide the best answers for all your questions. See you again soon. Thank you for visiting Westonci.ca, your go-to source for reliable answers. Come back soon for more expert insights.