A 10 foot ladder must make an angle of 30 with the ground if it is to reach a certain window. what angle must a 20 foot ladder m
ake with the ground to reach the same window?
a. 10.5 degree
b. 12.5 degree
c. 14.5 degree
d. 16.5 degree
a. 10.5 degree
b. 12.5 degree
c. 14.5 degree
d. 16.5 degree
2 answers:
See the attached figure to better understand the problem
we know that
in the triangle ABC
sin 30=AB/10------> AB=10*sin 30-----> AB=10*(1/2)----> 5 ft
in the triangle ABD
sin D=AB/20--------> sin D=5/20----> sin D=0.25
D=arc sin(0.25)-----> D=14.48°------> D=14.5°
the answer is the option
<span>c. 14.5 degree</span>
we know that
in the triangle ABC
sin 30=AB/10------> AB=10*sin 30-----> AB=10*(1/2)----> 5 ft
in the triangle ABD
sin D=AB/20--------> sin D=5/20----> sin D=0.25
D=arc sin(0.25)-----> D=14.48°------> D=14.5°
the answer is the option
<span>c. 14.5 degree</span>
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I solve this question by hand and have attached images for you because it is very difficult or impossible to do it here . I do it as simple as I can and make it very comprehensive for you. Hopefully, you will understand.
Note: the order for images remain same as I have attached.
Note: the order for images remain same as I have attached.
Answer:
Step-by-step explanation:
The formula we need here is
which simplifies to
which simplifies to
36 + 6x = 40 + 5x and
x = 4
So DG = 5 + 4 + 3 which is 12