Solve for k please help!!!

Mathematics

2 answers:

grin007 [14]2 years ago

8 0

Answer: k = 59°

Steps:
180 - 77 = 103

103 + 18 + k = 180
121 + k = 180
k = 180 - 121
k = 59

Check:
103 + 18 + k = 180
103 + 18 + 59 = 180
180 = 180 ✅

ivolga24 [154]2 years ago

5 0

Step-by-step explanation:

180-77 = 103

103+18 = 121

k = 180-121 = 59

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If the angle of elevation of the sun is 61.7° when a building casts a shadow of 56.5 feet, what is the height of the building ro

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SOLUTION

Let us use a simple diagram to interprete the question

In the diagram above, the dark stuff below represents the shadow and the rectangular bar represents the building. I have labelled the height of the building as h.

So we will use the right-angled triangle formed to find h

As we can see h represents the opposite side and 56.5 feet represents the adjacent side of the right-angle triangle. So we will use TOA

$\text{TOA tan }\theta=\frac{opposite}{\text{adjacent}}$

So we have

$\begin{gathered} \text{ tan }\theta=\frac{opposite}{\text{adjacent}} \\ \text{ tan }61.7\degree=\frac{h}{56.5} \\ 1.8572015=\frac{h}{56.5} \\ \text{cross multiplying, we have } \\ h=1.8572015\times56.5 \\ h=104.931887 \end{gathered}$

Hence the answer is 104.9 feet to the nearest tenth