Chapter 9.9, Problem 10PSB

To determine

To find:The value of height of the kite.

Answer to Problem 10PSB

The value of height is $128.56\text{ m}$

Explanation of Solution

Given information:The following information has been given

Hypotenuse is $200\text{ m}$

  $\sin {40}^0=0.6428$

Formula used:Basic trigonometric identities have been used

Calculation:We apply the sine formula in the triangle ADC where D is the midpoint of AB, we get

  $\begin{array}{l}\sin {40}^0=\frac{h}{200\text{ m}}\\ 0.6428=\frac{h}{200\text{ m}}\end{array}$

Hence, we get

  $h=128.56\text{ m}$