Question

The Seattle Space Needle casts a 67-meter shadow. If the angle of elevation

Answer 1

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,

$\sin\theta=\dfrac{x}{h}\\\\x=h\times \sin\theta\\\\x=67\times \sin(70)\\\\x=62.95\ m$

So, the space needle is 62.95 m tall.