To find the length of FD, let us use the tangent function. The tangent of an angle is the length of opposite side divided by the length of the adjacent side.

$\tan \theta=\frac{o p p}{a d j}$

From the given data, θ=83°, $o p p=6.2$ and $a d j=x$

Substituting these values in the tangent formula, we get,

$\begin{array}{r}{\tan \theta=\frac{o p p}{a d j}} \\{\tan 83^{\circ}=\frac{6.2}{x}}\end{array}$

Using calculator, the value of $\tan 83^{\circ}=8.14$ and substituting and solving the equation, we get,

$\begin{aligned}8.14 &=\frac{6.2}{x} \\x &=\frac{6.2}{8.14} \\x &=0.76\end{aligned}$

Thus, the length of FD = 0.76 feet.

7 0

4 years ago

A woman pushes a lawn mower with a constant force of 112 Newtons at an angle of 37◦ with respect to the horizontal. The lawn mow

user100 [1]

Answer:

1.0.024 hp

Step-by-step explanation:

We are given that

Constant force=F=112 N

$\theta=37^{\circ}$

Speed of lawn mower,v=20 cm/s= $20\times 10^{-2} m/s$

1 m=100 cm

1 hp=746 watt

We have to find the power output

Force applied by women on lawn mower= $Fcos\theta=112cos 37^{\circ}$

Force applied by women on lawn mower= $89.45$ N

Power output,P= $Fv$

Using the formula

Power output= $89.45\times 20\times 10^{-2}=17.89 watt$

Power output,P= $\frac{17.89}{746}=0.024$ hp

Hence, option 1 is true

5 0

4 years ago