contestada

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

Respuesta :

mathstudent55

Answer:

326 ft

Step-by-step explanation:

                                       +

                                 /      | \      

                           /            |   \

                     /           125 |     \

               /                        |       \

         /                              |          \

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

Maribel          a                      b      Karl

[tex] \tan 25^\circ = \dfrac{125~ft}{a} [/tex]

[tex] a \tan 25^\circ = 125~ft [/tex]

[tex] a = \dfrac{125~ft}{\tan 25^\circ} [/tex]

[tex] a = 268~ft [/tex]

[tex] \tan 65^\circ = \dfrac{125~ft}{b} [/tex]

[tex] b \tan 65^\circ = 125~ft [/tex]

[tex] b = \dfrac{125~ft}{\tan 65^\circ} [/tex]

[tex] b = 58~ft [/tex]

[tex] distance = a + b = 268~ft + 58~ft = 326~ft [/tex]

Otras preguntas