Answer : The height of the laptop screen is, 7.0 in
Step-by-step explanation :
As we are given that the expression as:
![d=√(w^2+h^2)](https://img.qammunity.org/2021/formulas/mathematics/middle-school/326ocfvmwc7ri3kpu92rkxfsk84d35bx4c.png)
Given:
w = 11.3 in
d = 13.3 in
Now put all the given values in the above expression, we get:
![d=√(w^2+h^2)](https://img.qammunity.org/2021/formulas/mathematics/middle-school/326ocfvmwc7ri3kpu92rkxfsk84d35bx4c.png)
![13.3=√((11.3)^2+h^2)](https://img.qammunity.org/2021/formulas/mathematics/middle-school/ldxhb97xj9k1l2z3vouc9u6box27k3wcqf.png)
Squaring both side, we get:
![(13.3)^2=(11.3)^2+h^2](https://img.qammunity.org/2021/formulas/mathematics/middle-school/sx8c6crnk5dsar1l3zh8wan23jn4qefrso.png)
![(13.3)^2=(11.3)^2+h^2](https://img.qammunity.org/2021/formulas/mathematics/middle-school/sx8c6crnk5dsar1l3zh8wan23jn4qefrso.png)
![176.89=127.69+h^2](https://img.qammunity.org/2021/formulas/mathematics/middle-school/hf9pu0w2l1yjr7s4y830symc7g2hwjg5p8.png)
![h^2=176.89-127.69](https://img.qammunity.org/2021/formulas/mathematics/middle-school/qfeg6w0h1f5284ekgos9ex77adgjtutx89.png)
![h^2=49.2](https://img.qammunity.org/2021/formulas/mathematics/middle-school/yhkxfza5g5z1t76by2hrfetm1otb774dhu.png)
![h=√(49.2)](https://img.qammunity.org/2021/formulas/mathematics/middle-school/4xlrj3aqaiocx57w2o9se3r2lvxg2vdoq8.png)
![h=7.0in](https://img.qammunity.org/2021/formulas/mathematics/middle-school/if4w4bn608qozz6wadgn2vkuv1shkl6h7x.png)
Therefore, the height of the laptop screen is, 7.0 in