10 POINTS. I WILL MARK BRAINLIEST 
1.
Two ropes, AD, and BD are tied to a peg on the ground at point D. The other ends of the ropes are tied to points A and B on a flagpole, as shown below: Two ropes, AD, and BD are tied to a peg on the ground at point D. The other ends of the ropes are tied to points A and B on a flagpole. Angle ADC measures 60° and angle BDC measures 45°. What is the distance between the points A and B on the flagpole? (1 point) 6.59 feet 1.73 feet 4.32 feet 2.56 feet

2.
Max observes the zoo and the library from a helicopter flying at a height of 200 times square root of 3 feet above the ground, as shown below:

A helicopter is flying at a height of 200 multiplied by square root of 3 feet above the ground. A zoo and a library are on the

What is the distance between the zoo and the library? (1 point)



400 feet

200 feet

600 feet

800 feet


10 POINTS I WILL MARK BRAINLIEST 1Two ropes AD and BD are tied to a peg on the ground at point D The other ends of the ropes are tied to points A and B on a fla class=
10 POINTS I WILL MARK BRAINLIEST 1Two ropes AD and BD are tied to a peg on the ground at point D The other ends of the ropes are tied to points A and B on a fla class=

Respuesta :

1. BC = 9 tan 45 = 9 ft
AC = 9 tan 60 = 9 sqrt(3) ft
AB = AC - BC = 9sqrt3 - 9 ft ~ 6.59 ft

2. G-Zoo = 200sqrt3 / tan 60 = 200 ft
G-Library = 200sqrt3 / tan 30 = 600 ft
Zoo-Library = G-Library - G-Zoo = 600 - 200 = 400 ft
Using the Soh Cah Toa of Right triangles


1)
BC = 9*tan45 = 9 AC = 9*tan60 = 9^(1/3)AB = AC - BC = 9^(1/3) - 9
   = 6.59 feet
2)
G-Zoo = 200^(1/3)/ tan60 = 200G-Library = 200^(1/3)/ tan30 = 600Zoo-Library = G-Library-G-Zoo = 600-200
= 400 feet