contestada

Given scalene right triangle with an acute angle of 65°.



To the nearest tenth of a foot, determine the value of h.

Given scalene right triangle with an acute angle of 65 To the nearest tenth of a foot determine the value of h class=

Respuesta :

choixongdong

Tan (65) = h/4

h = Tan(65) * 4

h = 2.1445 * 4

h = 8.578

h = 8.6 (rounded to the nearest tenth)

Answer:

8.6 ft

JeanaShupp

Answer: 8.6 feet

Step-by-step explanation:

By trigonometry , we know that in a right triangle the tangent of an angle x is equal to the ratio of the side opposite to the side adjacent to angle x .

In the given right triangle ,Angle : [tex]=65^{\circ}[/tex]

The side adjacent to [tex]65^{\circ}= 4\text{ ft}[/tex]

Then , we have

[tex]\tan65^{\circ}=\dfrac{h}{4}\\\\\Rightarrow\ 2.14450692051=\dfrac{h}{4}\\\\\Rightarrow\ h=4\times2.14450692051\\\\\Rightarrow\ h=8.57802768204\approx8.6\text{ feet}[/tex]

Hence, the value of h = 8.6 feet.

Otras preguntas