Asupport cable connects the top of a bridge tower to the road below. the cable is 245.9 feet long and connects to the road at a point 200.7 feet away from the center of the bridge tower. to the nearest tenth of a foot, how tall is the tower? a.317.4 ft b.142.1 ft c.446.6 ft d.246.3 ft

B. 142.1 ft

Step-by-step explanation:

Given: A support cable connects the top of a bridge tower to the road.

Since, the bridge tower is standing vertical to the the road, therefore, the angle made by it is a right angle.

Therefore, the triangle made by cable(hypotenuse) and bridge tower (Perpendicular) on road (base) must be a right angled triangle.

Therefore, by Pythagoras theorem, we have

Hence, the height of the bridge tower = 142.1 ft.

answer: 40392

step-by-step explanation:

10098 x 4 = 40392

the value of x is 9 ⇒ answer b

step-by-step explanation:

* we can solve this problem using cosine and sine rule

- in δ abc

∵ ab = 36 , bc = 28 , ac = 16

- lets find the measure of angle b using the cosine rule

∵ cos b = [ab² + bc² - ac²]/2(ab)(bc)

∴ cos b = [36² + 28² - 16²]/2(36)(28)

∴ cos b = 19/21

∴ m∠b = cos^-1(19/21) ≅ 25°

- lets find the measure of angle a using the sine rule

∵ sina/bc = sinb/ac = sinc/ab

∴ sina/28 = sin25°/16 ⇒ by using cross multiplication

∴ sina = 28 × sin25°/16

∴ sina = 0.7396

∴ m∠a = sin^-1(0.7396) ≅ 48°

- from the figure m∠abd = m∠dbc

∵ m∠abc = 25°

∴ m∠abd = 25°/2 = 12.5°

- in δabd

∵ m∠a = 48° , m∠abd = 12.5°

∵ the sum of the measures of the interior angles of any δ is 180°

∴ m∠adb = 180° - (48° + 12.5°) = 119.5°

∵ ab = 36

∵ ad = x

- use the sine rule to find x

∵ sin∠adb/ab = sin∠abd/x

∴ sin119.5°/36 = sin12.5°/x ⇒ by using cross multiplication

∴ x = 36 × sin12.5°/sin119.5° = 8.95 ≅ 9

* the value of x is 9