Question

Maribel and Karl are on opposite sides of a cell phone

tower. The tower has a height of 125 feet. From where
Maribel stands, the angle of elevation to the top of the
tower is 25°. For Karl, the angle of elevation is 65º. What
is the distance between them? Round the answer to the
nearest foot.
125 ft
25°
65°
657 feet
540 feet
326 feet
122 feet

Answer 1

326 ft

Explanation:

+

/ | \

/ | \

/ 125 | \

/ | \

/ | \

+------------------------------+----------+

Maribel a b Karl

`\tan 25^\circ = (125~ft)/(a)`

`a \tan 25^\circ = 125~ft`

`a = (125~ft)/(\tan 25^\circ)`

`a = 268~ft`

`\tan 65^\circ = (125~ft)/(b)`

`b \tan 65^\circ = 125~ft`

`b = (125~ft)/(\tan 65^\circ)`

`b = 58~ft`

`distance = a + b = 268~ft + 58~ft = 326~ft`