Answer:
The space needle is 62.95 m tall.
Step-by-step explanation:
Given that,
The height of the shadow, h = 67 m
The angle of elevation from the tip of the shadow to the top of the Space Needle is 70°.
We need to find the height of the space needle.
The shadow of space needle is hypotenuse of right angled triangle. Let the height of the space needle is x m. Using trigonometry,
[tex]\sin\theta=\dfrac{x}{h}\\\\x=h\times \sin\theta\\\\x=67\times \sin(70)\\\\x=62.95\ m[/tex]
So, the space needle is 62.95 m tall.
