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cdvazquez727
20.02.2021 •
Mathematics
The angle of depression from a window 10 m above the ground to a coin on the ground is 15°. Find the distance of the coin from the base of the building.
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Ответ:
37.3 m
Step-by-step explanation:
Let the distance of the coin to the base of the building be represented by x. Applying the required trigonometric function, we have:
Tan θ =![\frac{Opposite}{Adjacent}](/tpl/images/1133/3469/6ec75.png)
Tan 15 =![\frac{10}{x}](/tpl/images/1133/3469/66f39.png)
0.2680 =![\frac{10}{x}](/tpl/images/1133/3469/66f39.png)
x =![\frac{10}{0.2680}](/tpl/images/1133/3469/cac93.png)
= 37.3134
x = 37.3 m
The distance of the coin from the base of the building is 37.3 m.
Ответ:
x=12
Step-by-step explanation:
Complementary angles add up to 90 degrees. 90-66=24. 24 divided by 2 is 12.